10638061501440 has 1056 divisors, whose sum is σ = 37536440981760. Its totient is φ = 2563858759680.

The previous prime is 10638061501439. The next prime is 10638061501493. The reversal of 10638061501440 is 4410516083601.

It is a super-2 number, since 2×10638061501440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23278033692 + ... + 23278034148.

Almost surely, 2^{10638061501440} is an apocalyptic number.

10638061501440 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 10638061501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768220490880).

10638061501440 is an abundant number, since it is smaller than the sum of its proper divisors (26898379480320).

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

10638061501440 is a wasteful number, since it uses less digits than its factorization.

10638061501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10638061501440 in words is "ten trillion, six hundred thirty-eight billion, sixty-one million, five hundred one thousand, four hundred forty".