104256042642400 has 288 divisors, whose sum is σ = 279002032727040. Its totient is φ = 37727509248000.

The previous prime is 104256042642397. The next prime is 104256042642407. The reversal of 104256042642400 is 4246240652401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104256042642407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505706981 + ... + 1505776219.

It is an arithmetic number, because the mean of its divisors is an integer number (968757058080).

Almost surely, 2^{104256042642400} is an apocalyptic number.

104256042642400 is a gapful number since it is divisible by the number (10) 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 104256042642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139501016363520).

104256042642400 is an abundant number, since it is smaller than the sum of its proper divisors (174745990084640).

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

104256042642400 is a wasteful number, since it uses less digits than its factorization.

104256042642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70098 (or 70085 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 104256042642400 in words is "one hundred four trillion, two hundred fifty-six billion, forty-two million, six hundred forty-two thousand, four hundred".