42976547339040 has 3072 divisors, whose sum is σ = 196996114022400. Its totient is φ = 8524542394368.

The previous prime is 42976547339039. The next prime is 42976547339069. The reversal of 42976547339040 is 4093374567924.

It is a happy number.

42976547339040 is a `hidden beast` number, since 4 + 2 + 9 + 76 + 5 + 473 + 3 + 90 + 4 + 0 = 666.

It is a super-2 number, since 2×42976547339040² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 30116710807 + ... + 30116712233.

It is an arithmetic number, because the mean of its divisors is an integer number (64126339200).

Almost surely, 2^{42976547339040} is an apocalyptic number.

42976547339040 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 42976547339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98498057011200).

42976547339040 is an abundant number, since it is smaller than the sum of its proper divisors (154019566683360).

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

42976547339040 is a wasteful number, since it uses less digits than its factorization.

42976547339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 42976547339040 in words is "forty-two trillion, nine hundred seventy-six billion, five hundred forty-seven million, three hundred thirty-nine thousand, forty".