5315041146400 has 72 divisors (see below), whose sum is σ = 13738599774900. Its totient is φ = 2000956661760.

The previous prime is 5315041146353. The next prime is 5315041146407. The reversal of 5315041146400 is 46411405135.

It can be written as a sum of positive squares in 6 ways, for example, as 4521423860496 + 793617285904 = 2126364^2 + 890852^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (5315041146407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195392325 + ... + 195419524.

Almost surely, 2^{5315041146400} is an apocalyptic number.

5315041146400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5315041146400 is an abundant number, since it is smaller than the sum of its proper divisors (8423558628500).

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

5315041146400 is a wasteful number, since it uses less digits than its factorization.

5315041146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390811886 (or 390811873 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 5315041146400 in words is "five trillion, three hundred fifteen billion, forty-one million, one hundred forty-six thousand, four hundred".