871377011540400 has 120 divisors (see below), whose sum is σ = 2811392401800640. Its totient is φ = 230695496536320.

The previous prime is 871377011540369. The next prime is 871377011540407. The reversal of 871377011540400 is 4045110773178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 871377011540400.

It is not an unprimeable number, because it can be changed into a prime (871377011540407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611874602 + ... + 2612208201.

Almost surely, 2^{871377011540400} is an apocalyptic number.

871377011540400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

871377011540400 is an abundant number, since it is smaller than the sum of its proper divisors (1940015390260240).

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

871377011540400 is a wasteful number, since it uses less digits than its factorization.

871377011540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224082963 (or 5224082952 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 871377011540400 in words is "eight hundred seventy-one trillion, three hundred seventy-seven billion, eleven million, five hundred forty thousand, four hundred".