42056694400000 has 1056 divisors, whose sum is σ = 128077710001920. Its totient is φ = 13473546240000.

The previous prime is 42056694399917. The next prime is 42056694400043. The reversal of 42056694400000 is 449665024.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68163199692 + ... + 68163200308.

Almost surely, 2^{42056694400000} is an apocalyptic number.

42056694400000 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 42056694400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64038855000960).

42056694400000 is an abundant number, since it is smaller than the sum of its proper divisors (86021015601920).

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

42056694400000 is an equidigital number, since it uses as much as digits as its factorization.

42056694400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 42056694400000 in words is "forty-two trillion, fifty-six billion, six hundred ninety-four million, four hundred thousand".