42034820976000 has 3072 divisors, whose sum is σ = 173397621196800. Its totient is φ = 9699655680000.

The previous prime is 42034820975999. The next prime is 42034820976053. The reversal of 42034820976000 is 67902843024.

42034820976000 is a `hidden beast` number, since 4 + 2 + 0 + 34 + 8 + 2 + 0 + 9 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 302408783931 + ... + 302408784069.

It is an arithmetic number, because the mean of its divisors is an integer number (56444538150).

Almost surely, 2^{42034820976000} is an apocalyptic number.

42034820976000 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 42034820976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86698810598400).

42034820976000 is an abundant number, since it is smaller than the sum of its proper divisors (131362800220800).

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

42034820976000 is a wasteful number, since it uses less digits than its factorization.

42034820976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42034820976000 in words is "forty-two trillion, thirty-four billion, eight hundred twenty million, nine hundred seventy-six thousand".