10138882557440 has 960 divisors, whose sum is σ = 33943999320000. Its totient is φ = 2860938952704.

The previous prime is 10138882557439. The next prime is 10138882557511. The reversal of 10138882557440 is 4475528883101.

It is a happy number.

It is a super-2 number, since 2×10138882557440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526712936 + ... + 526732184.

It is an arithmetic number, because the mean of its divisors is an integer number (35358332625).

Almost surely, 2^{10138882557440} is an apocalyptic number.

10138882557440 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 10138882557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971999660000).

10138882557440 is an abundant number, since it is smaller than the sum of its proper divisors (23805116762560).

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

10138882557440 is a wasteful number, since it uses less digits than its factorization.

10138882557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19335 (or 19312 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 56.

The spelling of 10138882557440 in words is "ten trillion, one hundred thirty-eight billion, eight hundred eighty-two million, five hundred fifty-seven thousand, four hundred forty".