10037995120140 has 384 divisors, whose sum is σ = 31292699784192. Its totient is φ = 2388594216960.

The previous prime is 10037995120099. The next prime is 10037995120171. The reversal of 10037995120140 is 4102159973001.

It is a super-2 number, since 2×10037995120140² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10037995120092 and 10037995120101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1317145530 + ... + 1317153150.

It is an arithmetic number, because the mean of its divisors is an integer number (81491405688).

Almost surely, 2^{10037995120140} is an apocalyptic number.

10037995120140 is a gapful number since it is divisible by the number (10) 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 10037995120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646349892096).

10037995120140 is an abundant number, since it is smaller than the sum of its proper divisors (21254704664052).

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

10037995120140 is a wasteful number, since it uses less digits than its factorization.

10037995120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8089 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 10037995120140 in words is "ten trillion, thirty-seven billion, nine hundred ninety-five million, one hundred twenty thousand, one hundred forty".