814377075840 has 512 divisors, whose sum is σ = 3060117504000. Its totient is φ = 204106936320.

The previous prime is 814377075797. The next prime is 814377075923. The reversal of 814377075840 is 48570773418.

It is a super-2 number, since 2×814377075840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41686875 + ... + 41706405.

It is an arithmetic number, because the mean of its divisors is an integer number (5976792000).

Almost surely, 2^814377075840 is an apocalyptic number.

814377075840 is a gapful number since it is divisible by the number (80) 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 814377075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530058752000).

814377075840 is an abundant number, since it is smaller than the sum of its proper divisors (2245740428160).

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

814377075840 is a wasteful number, since it uses less digits than its factorization.

814377075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19705 (or 19687 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 814377075840 in words is "eight hundred fourteen billion, three hundred seventy-seven million, seventy-five thousand, eight hundred forty".