4540806914400 has 1728 divisors, whose sum is σ = 18311407994880. Its totient is φ = 1053455155200.

The previous prime is 4540806914389. The next prime is 4540806914447. The reversal of 4540806914400 is 44196080454.

4540806914400 is a `hidden beast` number, since 4 + 5 + 40 + 80 + 6 + 91 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6747112464 + ... + 6747113136.

Almost surely, 2^{4540806914400} is an apocalyptic number.

4540806914400 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 4540806914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9155703997440).

4540806914400 is an abundant number, since it is smaller than the sum of its proper divisors (13770601080480).

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

4540806914400 is a wasteful number, since it uses less digits than its factorization.

4540806914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4540806914400 in words is "four trillion, five hundred forty billion, eight hundred six million, nine hundred fourteen thousand, four hundred".