425351453040 has 320 divisors, whose sum is σ = 1499049292800. Its totient is φ = 110823552000.

The previous prime is 425351453011. The next prime is 425351453069. The reversal of 425351453040 is 40354153524.

425351453040 is a `hidden beast` number, since 4 + 2 + 53 + 514 + 53 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (425351453011) and next prime (425351453069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425351452986 and 425351453004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19885071 + ... + 19906449.

It is an arithmetic number, because the mean of its divisors is an integer number (4684529040).

Almost surely, 2^425351453040 is an apocalyptic number.

425351453040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425351453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749524646400).

425351453040 is an abundant number, since it is smaller than the sum of its proper divisors (1073697839760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425351453040 is a wasteful number, since it uses less digits than its factorization.

425351453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21613 (or 21601 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 425351453040 in words is "four hundred twenty-five billion, three hundred fifty-one million, four hundred fifty-three thousand, forty".