40445973360 has 480 divisors, whose sum is σ = 154625103360. Its totient is φ = 9392412672.

The previous prime is 40445973353. The next prime is 40445973401. The reversal of 40445973360 is 6337954404.

It is a super-3 number, since 3×40445973360³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 83051037 + ... + 83051523.

It is an arithmetic number, because the mean of its divisors is an integer number (322135632).

Almost surely, 2^40445973360 is an apocalyptic number.

40445973360 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 40445973360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77312551680).

40445973360 is an abundant number, since it is smaller than the sum of its proper divisors (114179130000).

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

40445973360 is a wasteful number, since it uses less digits than its factorization.

40445973360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 40445973360 in words is "forty billion, four hundred forty-five million, nine hundred seventy-three thousand, three hundred sixty".