5033419430400 has 180 divisors, whose sum is σ = 18013219120182. Its totient is φ = 1342245150720.

The previous prime is 5033419430399. The next prime is 5033419430441. The reversal of 5033419430400 is 40349143305.

5033419430400 is a `hidden beast` number, since 5 + 0 + 3 + 34 + 194 + 30 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4346324326656 + 687095103744 = 2084784^2 + 828912^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×5033419430400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21731239 + ... + 21961638.

Almost surely, 2^{5033419430400} is an apocalyptic number.

5033419430400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5033419430400 is an abundant number, since it is smaller than the sum of its proper divisors (12979799689782).

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

5033419430400 is a wasteful number, since it uses less digits than its factorization.

5033419430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43692911 (or 43692887 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 5033419430400 in words is "five trillion, thirty-three billion, four hundred nineteen million, four hundred thirty thousand, four hundred".