5435413015400 has 96 divisors (see below), whose sum is σ = 12999260181600. Its totient is φ = 2112757420800.

The previous prime is 5435413015399. The next prime is 5435413015463. The reversal of 5435413015400 is 45103145345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671290 + ... + 3696489.

It is an arithmetic number, because the mean of its divisors is an integer number (135408960225).

Almost surely, 2^{5435413015400} is an apocalyptic number.

5435413015400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5435413015400 is an abundant number, since it is smaller than the sum of its proper divisors (7563847166200).

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

5435413015400 is a wasteful number, since it uses less digits than its factorization.

5435413015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367939 (or 5367930 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 5435413015400 in words is "five trillion, four hundred thirty-five billion, four hundred thirteen million, fifteen thousand, four hundred".