3135640041300 has 72 divisors (see below), whose sum is σ = 9770332776736. Its totient is φ = 771849855360.

The previous prime is 3135640041299. The next prime is 3135640041311. The reversal of 3135640041300 is 31400465313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402001234 + ... + 402009033.

Almost surely, 2^{3135640041300} is an apocalyptic number.

3135640041300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3135640041300 is an abundant number, since it is smaller than the sum of its proper divisors (6634692735436).

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

3135640041300 is a wasteful number, since it uses less digits than its factorization.

3135640041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804010297 (or 804010290 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 3135640041300 in words is "three trillion, one hundred thirty-five billion, six hundred forty million, forty-one thousand, three hundred".