45121406400 has 1008 divisors, whose sum is σ = 193980084480. Its totient is φ = 10102579200.

The previous prime is 45121406377. The next prime is 45121406489. The reversal of 45121406400 is 460412154.

45121406400 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 14 + 0 + 640 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160574260 + ... + 160574540.

It is an arithmetic number, because the mean of its divisors is an integer number (192440560).

Almost surely, 2^45121406400 is an apocalyptic number.

45121406400 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 45121406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96990042240).

45121406400 is an abundant number, since it is smaller than the sum of its proper divisors (148858678080).

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

45121406400 is a wasteful number, since it uses less digits than its factorization.

45121406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45121406400 its reverse (460412154), we get a palindrome (45581818554).

The spelling of 45121406400 in words is "forty-five billion, one hundred twenty-one million, four hundred six thousand, four hundred".