29256113226240 has 2240 divisors, whose sum is σ = 119599725484800. Its totient is φ = 6820369661952.

The previous prime is 29256113226209. The next prime is 29256113226251. The reversal of 29256113226240 is 4262231165292.

29256113226240 is a `hidden beast` number, since 2 + 9 + 2 + 5 + 6 + 1 + 13 + 2 + 2 + 624 + 0 = 666.

It is a super-2 number, since 2×29256113226240² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23650858902 + ... + 23650860138.

Almost surely, 2^{29256113226240} is an apocalyptic number.

29256113226240 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 29256113226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59799862742400).

29256113226240 is an abundant number, since it is smaller than the sum of its proper divisors (90343612258560).

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

29256113226240 is a wasteful number, since it uses less digits than its factorization.

29256113226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 29256113226240 in words is "twenty-nine trillion, two hundred fifty-six billion, one hundred thirteen million, two hundred twenty-six thousand, two hundred forty".