249245029440 has 672 divisors, whose sum is σ = 1022261160960. Its totient is φ = 55030579200.

The previous prime is 249245029433. The next prime is 249245029447. The reversal of 249245029440 is 44920542942.

It is a happy number.

249245029440 is a `hidden beast` number, since 24 + 92 + 450 + 2 + 94 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (249245029433) and next prime (249245029447).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (249245029447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16687896 + ... + 16702824.

Almost surely, 2^249245029440 is an apocalyptic number.

249245029440 is a gapful number since it is divisible by the number (20) 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 249245029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511130580480).

249245029440 is an abundant number, since it is smaller than the sum of its proper divisors (773016131520).

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

249245029440 is a wasteful number, since it uses less digits than its factorization.

249245029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15011 (or 14998 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 24924502 and 9440, that added together give a palindrome (24933942).

The spelling of 249245029440 in words is "two hundred forty-nine billion, two hundred forty-five million, twenty-nine thousand, four hundred forty".