96440876400 has 240 divisors, whose sum is σ = 354755687040. Its totient is φ = 22149043200.

The previous prime is 96440876351. The next prime is 96440876423. The reversal of 96440876400 is 467804469.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 96440876400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58534 + ... + 443066.

It is an arithmetic number, because the mean of its divisors is an integer number (1478148696).

Almost surely, 2^96440876400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96440876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177377843520).

96440876400 is an abundant number, since it is smaller than the sum of its proper divisors (258314810640).

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

96440876400 is a wasteful number, since it uses less digits than its factorization.

96440876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384584 (or 384573 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 96440876400 in words is "ninety-six billion, four hundred forty million, eight hundred seventy-six thousand, four hundred".