40937682213120 has 576 divisors, whose sum is σ = 164687001163776. Its totient is φ = 8418829271040.

The previous prime is 40937682213073. The next prime is 40937682213167. The reversal of 40937682213120 is 2131228673904.

It is an interprime number because it is at equal distance from previous prime (40937682213073) and next prime (40937682213167).

It is a super-2 number, since 2×40937682213120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40937682213120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27967287 + ... + 29394633.

It is an arithmetic number, because the mean of its divisors is an integer number (285914932576).

Almost surely, 2^{40937682213120} is an apocalyptic number.

40937682213120 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 40937682213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82343500581888).

40937682213120 is an abundant number, since it is smaller than the sum of its proper divisors (123749318950656).

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

40937682213120 is a wasteful number, since it uses less digits than its factorization.

40937682213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427486 (or 1427472 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 40937682213120 in words is "forty trillion, nine hundred thirty-seven billion, six hundred eighty-two million, two hundred thirteen thousand, one hundred twenty".