336304040400 has 240 divisors, whose sum is σ = 1249037377920. Its totient is φ = 85781836800.

The previous prime is 336304040357. The next prime is 336304040491. The reversal of 336304040400 is 4040403633.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×336304040400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428541 + ... + 925340.

It is an arithmetic number, because the mean of its divisors is an integer number (5204322408).

Almost surely, 2^336304040400 is an apocalyptic number.

336304040400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336304040400 is an abundant number, since it is smaller than the sum of its proper divisors (912733337520).

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

336304040400 is a wasteful number, since it uses less digits than its factorization.

336304040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353931 (or 1353914 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The spelling of 336304040400 in words is "three hundred thirty-six billion, three hundred four million, forty thousand, four hundred".