42056547494400 has 960 divisors, whose sum is σ = 160331835248640. Its totient is φ = 10786270003200.

The previous prime is 42056547494399. The next prime is 42056547494411. The reversal of 42056547494400 is 449474565024.

42056547494400 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 6 + 547 + 4 + 94 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1746304759 + ... + 1746328841.

It is an arithmetic number, because the mean of its divisors is an integer number (167012328384).

Almost surely, 2^{42056547494400} is an apocalyptic number.

42056547494400 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 42056547494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80165917624320).

42056547494400 is an abundant number, since it is smaller than the sum of its proper divisors (118275287754240).

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

42056547494400 is a wasteful number, since it uses less digits than its factorization.

42056547494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24314 (or 24287 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 42056547494400 in words is "forty-two trillion, fifty-six billion, five hundred forty-seven million, four hundred ninety-four thousand, four hundred".