240406790012928 has 2160 divisors, whose sum is σ = 933622411940064. Its totient is φ = 60928724828160.

The previous prime is 240406790012903. The next prime is 240406790012941. The reversal of 240406790012928 is 829210097604042.

It is a happy number.

240406790012928 is a `hidden beast` number, since 2 + 4 + 0 + 406 + 7 + 90 + 0 + 129 + 28 = 666.

It is a super-3 number, since 3×240406790012928³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 246066314776 + ... + 246066315752.

Almost surely, 2^{240406790012928} is an apocalyptic number.

240406790012928 is a gapful number since it is divisible by the number (28) 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 240406790012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466811205970032).

240406790012928 is an abundant number, since it is smaller than the sum of its proper divisors (693215621927136).

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

240406790012928 is an frugal number, since it uses more digits than its factorization.

240406790012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 240406790012928 in words is "two hundred forty trillion, four hundred six billion, seven hundred ninety million, twelve thousand, nine hundred twenty-eight".