40437969816960 has 768 divisors, whose sum is σ = 151971688028160. Its totient is φ = 9868428509184.

The previous prime is 40437969816941. The next prime is 40437969816983. The reversal of 40437969816960 is 6961896973404.

40437969816960 is a `hidden beast` number, since 4 + 0 + 4 + 379 + 6 + 98 + 169 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 938933347 + ... + 938976413.

It is an arithmetic number, because the mean of its divisors is an integer number (197879802120).

Almost surely, 2^{40437969816960} is an apocalyptic number.

40437969816960 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 40437969816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75985844014080).

40437969816960 is an abundant number, since it is smaller than the sum of its proper divisors (111533718211200).

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

40437969816960 is a wasteful number, since it uses less digits than its factorization.

40437969816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43375 (or 43360 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

It can be divided in two parts, 40437969 and 816960, that added together give a square (41254929 = 6423²).

The spelling of 40437969816960 in words is "forty trillion, four hundred thirty-seven billion, nine hundred sixty-nine million, eight hundred sixteen thousand, nine hundred sixty".