10371055242240 has 2112 divisors, whose sum is σ = 48076990940160. Its totient is φ = 2080155893760.

The previous prime is 10371055242209. The next prime is 10371055242253. The reversal of 10371055242240 is 4224255017301.

10371055242240 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 105 + 524 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a junction number, because it is equal to n+sod(n) for n = 10371055242195 and 10371055242204.

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, 2778207414 + ... + 2778211146.

Almost surely, 2^{10371055242240} is an apocalyptic number.

10371055242240 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 10371055242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24038495470080).

10371055242240 is an abundant number, since it is smaller than the sum of its proper divisors (37705935697920).

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

10371055242240 is a wasteful number, since it uses less digits than its factorization.

10371055242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 10371055242240 in words is "ten trillion, three hundred seventy-one billion, fifty-five million, two hundred forty-two thousand, two hundred forty".