995470106400 has 1728 divisors, whose sum is σ = 4605761212416. Its totient is φ = 203793408000.

The previous prime is 995470106387. The next prime is 995470106419. The reversal of 995470106400 is 4601074599.

995470106400 is a `hidden beast` number, since 99 + 54 + 7 + 0 + 106 + 400 = 666.

995470106400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 1092721945 + ... + 1092722855.

It is an arithmetic number, because the mean of its divisors is an integer number (2665371072).

Almost surely, 2^995470106400 is an apocalyptic number.

995470106400 is a gapful number since it is divisible by the number (90) 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 995470106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302880606208).

995470106400 is an abundant number, since it is smaller than the sum of its proper divisors (3610291106016).

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

995470106400 is a wasteful number, since it uses less digits than its factorization.

995470106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 995470 and 106400, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 995470106400 in words is "nine hundred ninety-five billion, four hundred seventy million, one hundred six thousand, four hundred".