309812855040 has 432 divisors, whose sum is σ = 1161301093680. Its totient is φ = 76255395840.

The previous prime is 309812854993. The next prime is 309812855057. The reversal of 309812855040 is 40558218903.

309812855040 is a `hidden beast` number, since 3 + 0 + 98 + 1 + 2 + 8 + 550 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 264228897024 + 45583958016 = 514032^2 + 213504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25303320 + ... + 25315560.

Almost surely, 2^309812855040 is an apocalyptic number.

309812855040 is a gapful number since it is divisible by the number (30) 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 309812855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580650546840).

309812855040 is an abundant number, since it is smaller than the sum of its proper divisors (851488238640).

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

309812855040 is a wasteful number, since it uses less digits than its factorization.

309812855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12307 (or 12264 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 309812855040 in words is "three hundred nine billion, eight hundred twelve million, eight hundred fifty-five thousand, forty".