45400520400 has 120 divisors (see below), whose sum is σ = 146325857760. Its totient is φ = 12032478720.

The previous prime is 45400520381. The next prime is 45400520413. The reversal of 45400520400 is 402500454.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×45400520400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79546 + ... + 311654.

It is an arithmetic number, because the mean of its divisors is an integer number (1219382148).

Almost surely, 2^45400520400 is an apocalyptic number.

45400520400 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 45400520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73162928880).

45400520400 is an abundant number, since it is smaller than the sum of its proper divisors (100925337360).

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

45400520400 is a wasteful number, since it uses less digits than its factorization.

45400520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232293 (or 232282 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The spelling of 45400520400 in words is "forty-five billion, four hundred million, five hundred twenty thousand, four hundred".