42896179544400 has 3240 divisors, whose sum is σ = 194262406097760. Its totient is φ = 8730509598720.

The previous prime is 42896179544321. The next prime is 42896179544423. The reversal of 42896179544400 is 444597169824.

42896179544400 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 6 + 179 + 54 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 139726969047 + ... + 139726969353.

Almost surely, 2^{42896179544400} is an apocalyptic number.

42896179544400 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 42896179544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97131203048880).

42896179544400 is an abundant number, since it is smaller than the sum of its proper divisors (151366226553360).

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

42896179544400 is a wasteful number, since it uses less digits than its factorization.

42896179544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 42896179544400 in words is "forty-two trillion, eight hundred ninety-six billion, one hundred seventy-nine million, five hundred forty-four thousand, four hundred".