37881047413440 has 1344 divisors, whose sum is σ = 164188364820480. Its totient is φ = 7787356692480.

The previous prime is 37881047413421. The next prime is 37881047413471. The reversal of 37881047413440 is 4431474018873.

It is a happy number.

37881047413440 is a `hidden beast` number, since 3 + 7 + 88 + 104 + 7 + 4 + 13 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9463162479 + ... + 9463166481.

It is an arithmetic number, because the mean of its divisors is an integer number (122163961920).

Almost surely, 2^{37881047413440} is an apocalyptic number.

37881047413440 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 37881047413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82094182410240).

37881047413440 is an abundant number, since it is smaller than the sum of its proper divisors (126307317407040).

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

37881047413440 is a wasteful number, since it uses less digits than its factorization.

37881047413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 37881047413440 in words is "thirty-seven trillion, eight hundred eighty-one billion, forty-seven million, four hundred thirteen thousand, four hundred forty".