434624803527420 has 1152 divisors, whose sum is σ = 1525637165875200. Its totient is φ = 102616113600000.

The previous prime is 434624803527347. The next prime is 434624803527449. The reversal of 434624803527420 is 24725308426434.

434624803527420 is a `hidden beast` number, since 4 + 3 + 4 + 6 + 248 + 0 + 352 + 7 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 147881864311 + ... + 147881867249.

It is an arithmetic number, because the mean of its divisors is an integer number (1324337817600).

Almost surely, 2^{434624803527420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434624803527420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762818582937600).

434624803527420 is an abundant number, since it is smaller than the sum of its proper divisors (1091012362347780).

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

434624803527420 is a wasteful number, since it uses less digits than its factorization.

434624803527420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 54.

The spelling of 434624803527420 in words is "four hundred thirty-four trillion, six hundred twenty-four billion, eight hundred three million, five hundred twenty-seven thousand, four hundred twenty".