37512242161440 has 192 divisors, whose sum is σ = 118628570995200. Its totient is φ = 9963960053760.

The previous prime is 37512242161379. The next prime is 37512242161451. The reversal of 37512242161440 is 4416124221573.

It is a junction number, because it is equal to n+sod(n) for n = 37512242161392 and 37512242161401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157517337 + ... + 157755303.

It is an arithmetic number, because the mean of its divisors is an integer number (617857140600).

Almost surely, 2^{37512242161440} is an apocalyptic number.

37512242161440 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 37512242161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59314285497600).

37512242161440 is an abundant number, since it is smaller than the sum of its proper divisors (81116328833760).

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

37512242161440 is a wasteful number, since it uses less digits than its factorization.

37512242161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239275 (or 239267 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 37512242161440 in words is "thirty-seven trillion, five hundred twelve billion, two hundred forty-two million, one hundred sixty-one thousand, four hundred forty".