42718977120 has 96 divisors (see below), whose sum is σ = 138905625600. Its totient is φ = 11024248320.

The previous prime is 42718977107. The next prime is 42718977127. The reversal of 42718977120 is 2177981724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42718977120² (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 42718977120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42718977127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1420570 + ... + 1450329.

It is an arithmetic number, because the mean of its divisors is an integer number (1446933600).

Almost surely, 2^42718977120 is an apocalyptic number.

42718977120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42718977120 is an abundant number, since it is smaller than the sum of its proper divisors (96186648480).

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

42718977120 is a wasteful number, since it uses less digits than its factorization.

42718977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870948 (or 2870940 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The spelling of 42718977120 in words is "forty-two billion, seven hundred eighteen million, nine hundred seventy-seven thousand, one hundred twenty".