40737600000 has 960 divisors, whose sum is σ = 161112188160. Its totient is φ = 10137600000.

The previous prime is 40737599993. The next prime is 40737600073. The reversal of 40737600000 is 673704.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 993599980 + ... + 993600020.

It is an arithmetic number, because the mean of its divisors is an integer number (167825196).

Almost surely, 2^40737600000 is an apocalyptic number.

40737600000 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 40737600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80556094080).

40737600000 is an abundant number, since it is smaller than the sum of its proper divisors (120374588160).

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

40737600000 is an frugal number, since it uses more digits than its factorization.

40737600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 40737600000 in words is "forty billion, seven hundred thirty-seven million, six hundred thousand".