40312796160000 has 2240 divisors, whose sum is σ = 167288965595136. Its totient is φ = 8404992000000.

The previous prime is 40312796159957. The next prime is 40312796160011. The reversal of 40312796160000 is 6169721304.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 211061759905 + ... + 211061760095.

Almost surely, 2^{40312796160000} is an apocalyptic number.

40312796160000 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 40312796160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83644482797568).

40312796160000 is an abundant number, since it is smaller than the sum of its proper divisors (126976169435136).

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

40312796160000 is a wasteful number, since it uses less digits than its factorization.

40312796160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 40312796160000 in words is "forty trillion, three hundred twelve billion, seven hundred ninety-six million, one hundred sixty thousand".