309406421376 has 1024 divisors, whose sum is σ = 1099617120000. Its totient is φ = 84722319360.

The previous prime is 309406421339. The next prime is 309406421431. The reversal of 309406421376 is 673124604903.

309406421376 is a `hidden beast` number, since 309 + 4 + 0 + 64 + 213 + 76 = 666.

It is a congruent number.

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, 1351119630 + ... + 1351119858.

Almost surely, 2^309406421376 is an apocalyptic number.

309406421376 is a gapful number since it is divisible by the number (36) 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 309406421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549808560000).

309406421376 is an abundant number, since it is smaller than the sum of its proper divisors (790210698624).

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

309406421376 is a wasteful number, since it uses less digits than its factorization.

309406421376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 309406421376 in words is "three hundred nine billion, four hundred six million, four hundred twenty-one thousand, three hundred seventy-six".