10401278720 has 144 divisors (see below), whose sum is σ = 29392785408. Its totient is φ = 3451023360.

The previous prime is 10401278687. The next prime is 10401278743. The reversal of 10401278720 is 2787210401.

It is a happy number.

It is a super-2 number, since 2×10401278720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259037 + ... + 296483.

Almost surely, 2^10401278720 is an apocalyptic number.

10401278720 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 10401278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696392704).

10401278720 is an abundant number, since it is smaller than the sum of its proper divisors (18991506688).

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

10401278720 is an equidigital number, since it uses as much as digits as its factorization.

10401278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37506 (or 37492 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 10401278720 in words is "ten billion, four hundred one million, two hundred seventy-eight thousand, seven hundred twenty".