406978974630120 has 128 divisors (see below), whose sum is σ = 1258462064880000. Its totient is φ = 105213336708096.

The previous prime is 406978974630079. The next prime is 406978974630121. The reversal of 406978974630120 is 21036479879604.

It is a super-2 number, since 2×406978974630120² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (406978974630121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164224870 + ... + 166684629.

It is an arithmetic number, because the mean of its divisors is an integer number (9831734881875).

Almost surely, 2^{406978974630120} is an apocalyptic number.

406978974630120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406978974630120 is an abundant number, since it is smaller than the sum of its proper divisors (851483090249880).

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

406978974630120 is a wasteful number, since it uses less digits than its factorization.

406978974630120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330909827 (or 330909823 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 406978974630120 in words is "four hundred six trillion, nine hundred seventy-eight billion, nine hundred seventy-four million, six hundred thirty thousand, one hundred twenty".