40412736000 has 1280 divisors, whose sum is σ = 184458193920. Its totient is φ = 8493465600.

The previous prime is 40412735981. The next prime is 40412736019. The reversal of 40412736000 is 63721404.

40412736000 is a `hidden beast` number, since 40 + 4 + 12 + 7 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40412735981) and next prime (40412736019).

It is a tau number, because it is divible by the number of its divisors (1280).

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

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 127 ways as a sum of consecutive naturals, for example, 157247872 + ... + 157248128.

It is an arithmetic number, because the mean of its divisors is an integer number (144107964).

Almost surely, 2^40412736000 is an apocalyptic number.

40412736000 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 40412736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92229096960).

40412736000 is an abundant number, since it is smaller than the sum of its proper divisors (144045457920).

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

40412736000 is a wasteful number, since it uses less digits than its factorization.

40412736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 40412736000 in words is "forty billion, four hundred twelve million, seven hundred thirty-six thousand".