10401240780 has 576 divisors, whose sum is σ = 39952604160. Its totient is φ = 2263282560.

The previous prime is 10401240763. The next prime is 10401240791. The reversal of 10401240780 is 8704210401.

10401240780 is a `hidden beast` number, since 10 + 401 + 240 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49294875 + ... + 49295085.

It is an arithmetic number, because the mean of its divisors is an integer number (69362160).

Almost surely, 2^10401240780 is an apocalyptic number.

10401240780 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 10401240780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19976302080).

10401240780 is an abundant number, since it is smaller than the sum of its proper divisors (29551363380).

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

10401240780 is a wasteful number, since it uses less digits than its factorization.

10401240780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10401240780 in words is "ten billion, four hundred one million, two hundred forty thousand, seven hundred eighty".