10003377137040 has 160 divisors (see below), whose sum is σ = 39378373551360. Its totient is φ = 2286486199296.

The previous prime is 10003377137009. The next prime is 10003377137093. The reversal of 10003377137040 is 4073177330001.

It is a happy number.

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 = 10003377136986 and 10003377137004.

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, 330784389 + ... + 330814628.

It is an arithmetic number, because the mean of its divisors is an integer number (246114834696).

Almost surely, 2^{10003377137040} is an apocalyptic number.

10003377137040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003377137040 is an abundant number, since it is smaller than the sum of its proper divisors (29374996414320).

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

10003377137040 is a wasteful number, since it uses less digits than its factorization.

10003377137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661599046 (or 661599034 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 10003377137040 in words is "ten trillion, three billion, three hundred seventy-seven million, one hundred thirty-seven thousand, forty".