5010400683144 has 128 divisors (see below), whose sum is σ = 13945517308800. Its totient is φ = 1666807683840.

The previous prime is 5010400683131. The next prime is 5010400683157. The reversal of 5010400683144 is 4413860040105.

5010400683144 is a `hidden beast` number, since 50 + 1 + 0 + 400 + 68 + 3 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (5010400683131) and next prime (5010400683157).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5010400683099 and 5010400683108.

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 31 ways as a sum of consecutive naturals, for example, 324773559 + ... + 324788985.

It is an arithmetic number, because the mean of its divisors is an integer number (108949353975).

Almost surely, 2^{5010400683144} is an apocalyptic number.

5010400683144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5010400683144 is an abundant number, since it is smaller than the sum of its proper divisors (8935116625656).

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

5010400683144 is a wasteful number, since it uses less digits than its factorization.

5010400683144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340 (or 18330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 5010400683144 in words is "five trillion, ten billion, four hundred million, six hundred eighty-three thousand, one hundred forty-four".