40500734400 has 1512 divisors, whose sum is σ = 184679630640. Its totient is φ = 8604610560.

The previous prime is 40500734387. The next prime is 40500734411. The reversal of 40500734400 is 443700504.

It is a tau number, because it is divible by the number of its divisors (1512).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 764164774 + ... + 764164826.

Almost surely, 2^40500734400 is an apocalyptic number.

40500734400 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 40500734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92339815320).

40500734400 is an abundant number, since it is smaller than the sum of its proper divisors (144178896240).

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

40500734400 is a wasteful number, since it uses less digits than its factorization.

40500734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 40500734400 in words is "forty billion, five hundred million, seven hundred thirty-four thousand, four hundred".