309213396470400 has 384 divisors, whose sum is σ = 1022326971826560. Its totient is φ = 82145348812800.

The previous prime is 309213396470399. The next prime is 309213396470491. The reversal of 309213396470400 is 4074693312903.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×309213396470400² (a number of 30 digits) contains 22 as substring.

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, 2768267352 + ... + 2768379048.

It is an arithmetic number, because the mean of its divisors is an integer number (2662309822465).

Almost surely, 2^{309213396470400} is an apocalyptic number.

309213396470400 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 309213396470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511163485913280).

309213396470400 is an abundant number, since it is smaller than the sum of its proper divisors (713113575356160).

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

309213396470400 is a wasteful number, since it uses less digits than its factorization.

309213396470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112812 (or 112795 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 309213396470400 in words is "three hundred nine trillion, two hundred thirteen billion, three hundred ninety-six million, four hundred seventy thousand, four hundred".