40037712000 has 1024 divisors, whose sum is σ = 164670105600. Its totient is φ = 8460288000.

The previous prime is 40037711969. The next prime is 40037712079. The reversal of 40037712000 is 21773004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130415847 + ... + 130416153.

It is an arithmetic number, because the mean of its divisors is an integer number (160810650).

Almost surely, 2^40037712000 is an apocalyptic number.

40037712000 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 40037712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82335052800).

40037712000 is an abundant number, since it is smaller than the sum of its proper divisors (124632393600).

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

40037712000 is a wasteful number, since it uses less digits than its factorization.

40037712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The spelling of 40037712000 in words is "forty billion, thirty-seven million, seven hundred twelve thousand".