37939051799040 has 640 divisors, whose sum is σ = 140994695761920. Its totient is φ = 8523531878400.

The previous prime is 37939051799029. The next prime is 37939051799071. The reversal of 37939051799040 is 4099715093973.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1263398746 + ... + 1263428774.

It is an arithmetic number, because the mean of its divisors is an integer number (220304212128).

Almost surely, 2^{37939051799040} is an apocalyptic number.

37939051799040 is a gapful number since it is divisible by the number (30) 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 37939051799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70497347880960).

37939051799040 is an abundant number, since it is smaller than the sum of its proper divisors (103055643962880).

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

37939051799040 is a wasteful number, since it uses less digits than its factorization.

37939051799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30464 (or 30448 counting only the distinct ones).

The product of its (nonzero) digits is 57868020, while the sum is 66.

The spelling of 37939051799040 in words is "thirty-seven trillion, nine hundred thirty-nine billion, fifty-one million, seven hundred ninety-nine thousand, forty".