42973677120 has 896 divisors, whose sum is σ = 170332968960. Its totient is φ = 9042001920.

The previous prime is 42973677083. The next prime is 42973677143. The reversal of 42973677120 is 2177637924.

It is a super-2 number, since 2×42973677120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42973677120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146667694 + ... + 146667986.

It is an arithmetic number, because the mean of its divisors is an integer number (190103760).

Almost surely, 2^42973677120 is an apocalyptic number.

42973677120 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 42973677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85166484480).

42973677120 is an abundant number, since it is smaller than the sum of its proper divisors (127359291840).

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

42973677120 is a wasteful number, since it uses less digits than its factorization.

42973677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 42973677120 in words is "forty-two billion, nine hundred seventy-three million, six hundred seventy-seven thousand, one hundred twenty".