40399737600 has 648 divisors, whose sum is σ = 144428099760. Its totient is φ = 9929687040.

The previous prime is 40399737593. The next prime is 40399737607. The reversal of 40399737600 is 673799304.

It is an interprime number because it is at equal distance from previous prime (40399737593) and next prime (40399737607).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40399737600.

It is not an unprimeable number, because it can be changed into a prime (40399737607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 762259174 + ... + 762259226.

It is an arithmetic number, because the mean of its divisors is an integer number (222882870).

Almost surely, 2^40399737600 is an apocalyptic number.

40399737600 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 40399737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72214049880).

40399737600 is an abundant number, since it is smaller than the sum of its proper divisors (104028362160).

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

40399737600 is a wasteful number, since it uses less digits than its factorization.

40399737600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The spelling of 40399737600 in words is "forty billion, three hundred ninety-nine million, seven hundred thirty-seven thousand, six hundred".