71400681031680 has 3840 divisors, whose sum is σ = 358651489996800. Its totient is φ = 13096286945280.

The previous prime is 71400681031661. The next prime is 71400681031697. The reversal of 71400681031680 is 8613018600417.

71400681031680 is a `hidden beast` number, since 7 + 1 + 400 + 6 + 81 + 0 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19096195251 + ... + 19096198989.

It is an arithmetic number, because the mean of its divisors is an integer number (93398825520).

Almost surely, 2^{71400681031680} is an apocalyptic number.

71400681031680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71400681031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179325744998400).

71400681031680 is an abundant number, since it is smaller than the sum of its proper divisors (287250808965120).

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

71400681031680 is a wasteful number, since it uses less digits than its factorization.

71400681031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 71400681031680 in words is "seventy-one trillion, four hundred billion, six hundred eighty-one million, thirty-one thousand, six hundred eighty".