6406136244540 has 144 divisors (see below), whose sum is σ = 20333685179808. Its totient is φ = 1630771564032.

The previous prime is 6406136244449. The next prime is 6406136244589. The reversal of 6406136244540 is 454426316046.

6406136244540 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 1 + 3 + 62 + 44 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8721382 + ... + 9427341.

It is an arithmetic number, because the mean of its divisors is an integer number (141206147082).

Almost surely, 2^{6406136244540} is an apocalyptic number.

6406136244540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6406136244540 is an abundant number, since it is smaller than the sum of its proper divisors (13927548935268).

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

6406136244540 is a wasteful number, since it uses less digits than its factorization.

6406136244540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18148828 (or 18148823 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 6406136244540 in words is "six trillion, four hundred six billion, one hundred thirty-six million, two hundred forty-four thousand, five hundred forty".