4350712874400 has 216 divisors, whose sum is σ = 15345497411244. Its totient is φ = 1159903027200.

The previous prime is 4350712874381. The next prime is 4350712874419. The reversal of 4350712874400 is 44782170534.

4350712874400 is a `hidden beast` number, since 4 + 3 + 50 + 7 + 128 + 74 + 400 = 666.

4350712874400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4350712874381) and next prime (4350712874419).

It can be written as a sum of positive squares in 6 ways, for example, as 2805852804624 + 1544860069776 = 1675068^2 + 1242924^2 .

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 35 ways as a sum of consecutive naturals, for example, 29857720 + ... + 30003080.

Almost surely, 2^{4350712874400} is an apocalyptic number.

4350712874400 is a gapful number since it is divisible by the number (40) 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 4350712874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672748705622).

4350712874400 is an abundant number, since it is smaller than the sum of its proper divisors (10994784536844).

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

4350712874400 is a wasteful number, since it uses less digits than its factorization.

4350712874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149544 (or 149528 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4350712874400 in words is "four trillion, three hundred fifty billion, seven hundred twelve million, eight hundred seventy-four thousand, four hundred".