995546414400 has 168 divisors, whose sum is σ = 3275480189184. Its totient is φ = 264726528000.

The previous prime is 995546414389. The next prime is 995546414417. The reversal of 995546414400 is 4414645599.

It is a happy number.

995546414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×995546414400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1400625 + ... + 1988175.

It is an arithmetic number, because the mean of its divisors is an integer number (19496905888).

Almost surely, 2^995546414400 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 995546414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637740094592).

995546414400 is an abundant number, since it is smaller than the sum of its proper divisors (2279933774784).

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

995546414400 is a wasteful number, since it uses less digits than its factorization.

995546414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587929 (or 587914 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 995546414400 in words is "nine hundred ninety-five billion, five hundred forty-six million, four hundred fourteen thousand, four hundred".