40044770304 has 704 divisors, whose sum is σ = 141664714752. Its totient is φ = 9754214400.

The previous prime is 40044770299. The next prime is 40044770309. The reversal of 40044770304 is 40307744004.

It is an interprime number because it is at equal distance from previous prime (40044770299) and next prime (40044770309).

It is a tau number, because it is divible by the number of its divisors (704).

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 (40044770309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315313089 + ... + 315313215.

It is an arithmetic number, because the mean of its divisors is an integer number (201228288).

Almost surely, 2^40044770304 is an apocalyptic number.

40044770304 is a gapful number since it is divisible by the number (44) 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 40044770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70832357376).

40044770304 is an abundant number, since it is smaller than the sum of its proper divisors (101619944448).

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

40044770304 is a wasteful number, since it uses less digits than its factorization.

40044770304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The spelling of 40044770304 in words is "forty billion, forty-four million, seven hundred seventy thousand, three hundred four".