37144189440 has 800 divisors, whose sum is σ = 144861759504. Its totient is φ = 9059696640.

The previous prime is 37144189417. The next prime is 37144189513. The reversal of 37144189440 is 4498144173.

It can be written as a sum of positive squares in 8 ways, for example, as 23167275264 + 13976914176 = 152208^2 + 118224^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144529792 + ... + 144530048.

Almost surely, 2^37144189440 is an apocalyptic number.

37144189440 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 37144189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72430879752).

37144189440 is an abundant number, since it is smaller than the sum of its proper divisors (107717570064).

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

37144189440 is a wasteful number, since it uses less digits than its factorization.

37144189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 37144189440 in words is "thirty-seven billion, one hundred forty-four million, one hundred eighty-nine thousand, four hundred forty".