40036032009600 has 1152 divisors, whose sum is σ = 150926927870880. Its totient is φ = 9313075200000.

The previous prime is 40036032009541. The next prime is 40036032009601. The reversal of 40036032009600 is 690023063004.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40036032009601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2905154710 + ... + 2905168490.

Almost surely, 2^{40036032009600} is an apocalyptic number.

40036032009600 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 40036032009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75463463935440).

40036032009600 is an abundant number, since it is smaller than the sum of its proper divisors (110890895861280).

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

40036032009600 is a wasteful number, since it uses less digits than its factorization.

40036032009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932 (or 13904 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 40036032009600 in words is "forty trillion, thirty-six billion, thirty-two million, nine thousand, six hundred".