47761465415400 has 144 divisors (see below), whose sum is σ = 174980641548960. Its totient is φ = 11578537065600.

The previous prime is 47761465415393. The next prime is 47761465415441. The reversal of 47761465415400 is 451456416774.

47761465415400 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 1 + 46 + 54 + 1 + 540 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1206077812 + ... + 1206117411.

It is an arithmetic number, because the mean of its divisors is an integer number (1215143344090).

Almost surely, 2^{47761465415400} is an apocalyptic number.

47761465415400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47761465415400 is an abundant number, since it is smaller than the sum of its proper divisors (127219176133560).

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

47761465415400 is a wasteful number, since it uses less digits than its factorization.

47761465415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412195256 (or 2412195244 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 47761465415400 in words is "forty-seven trillion, seven hundred sixty-one billion, four hundred sixty-five million, four hundred fifteen thousand, four hundred".