84265140326400 has 3276 divisors, whose sum is σ = 363216459794160. Its totient is φ = 19313344512000.

The previous prime is 84265140326399. The next prime is 84265140326447. The reversal of 84265140326400 is 462304156248.

84265140326400 is a `hidden beast` number, since 8 + 42 + 6 + 514 + 0 + 32 + 64 + 0 + 0 = 666.

It is a super-2 number, since 2×84265140326400² (a number of 29 digits) contains 22 as substring.

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 251 ways as a sum of consecutive naturals, for example, 171619430155 + ... + 171619430645.

Almost surely, 2^{84265140326400} is an apocalyptic number.

84265140326400 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 84265140326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181608229897080).

84265140326400 is an abundant number, since it is smaller than the sum of its proper divisors (278951319467760).

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

84265140326400 is a wasteful number, since it uses less digits than its factorization.

84265140326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 84265140326400 in words is "eighty-four trillion, two hundred sixty-five billion, one hundred forty million, three hundred twenty-six thousand, four hundred".