10144382976 has 612 divisors, whose sum is σ = 38072455512. Its totient is φ = 2675441664.

The previous prime is 10144382879. The next prime is 10144382999. The reversal of 10144382976 is 67928344101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 780337146 + ... + 780337158.

Almost surely, 2^10144382976 is an apocalyptic number.

10144382976 is a gapful number since it is divisible by the number (16) 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 10144382976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036227756).

10144382976 is an abundant number, since it is smaller than the sum of its proper divisors (27928072536).

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

10144382976 is an frugal number, since it uses more digits than its factorization.

10144382976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10144382976 in words is "ten billion, one hundred forty-four million, three hundred eighty-two thousand, nine hundred seventy-six".