45407834942400 has 1008 divisors, whose sum is σ = 194893972416000. Its totient is φ = 9795178782720.

The previous prime is 45407834942387. The next prime is 45407834942413. The reversal of 45407834942400 is 424943870454.

45407834942400 is a `hidden beast` number, since 4 + 5 + 40 + 78 + 3 + 494 + 2 + 40 + 0 = 666.

45407834942400 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 (45407834942387) and next prime (45407834942413).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×45407834942400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 503652526 + ... + 503742674.

Almost surely, 2^{45407834942400} is an apocalyptic number.

45407834942400 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 45407834942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97446986208000).

45407834942400 is an abundant number, since it is smaller than the sum of its proper divisors (149486137473600).

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

45407834942400 is a wasteful number, since it uses less digits than its factorization.

45407834942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90466 (or 90448 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 45407834942400 in words is "forty-five trillion, four hundred seven billion, eight hundred thirty-four million, nine hundred forty-two thousand, four hundred".