45039585254400 has 1320 divisors, whose sum is σ = 183111166886736. Its totient is φ = 10848278937600.

The previous prime is 45039585254357. The next prime is 45039585254423. The reversal of 45039585254400 is 445258593054.

45039585254400 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 9 + 585 + 2 + 54 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3581100912 + ... + 3581113488.

Almost surely, 2^{45039585254400} is an apocalyptic number.

45039585254400 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 45039585254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91555583443368).

45039585254400 is an abundant number, since it is smaller than the sum of its proper divisors (138071581632336).

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

45039585254400 is a wasteful number, since it uses less digits than its factorization.

45039585254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12787 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 45039585254400 in words is "forty-five trillion, thirty-nine billion, five hundred eighty-five million, two hundred fifty-four thousand, four hundred".