37401981120 has 448 divisors, whose sum is σ = 155667456000. Its totient is φ = 8272834560.

The previous prime is 37401981119. The next prime is 37401981143. The reversal of 37401981120 is 2118910473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1864906 + ... + 1884854.

It is an arithmetic number, because the mean of its divisors is an integer number (347472000).

Almost surely, 2^37401981120 is an apocalyptic number.

37401981120 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 37401981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728000).

37401981120 is an abundant number, since it is smaller than the sum of its proper divisors (118265474880).

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

37401981120 is a wasteful number, since it uses less digits than its factorization.

37401981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20013 (or 19997 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 37401981120 in words is "thirty-seven billion, four hundred one million, nine hundred eighty-one thousand, one hundred twenty".