10440401580 has 432 divisors, whose sum is σ = 39914108640. Its totient is φ = 2258710272.

The previous prime is 10440401567. The next prime is 10440401611. The reversal of 10440401580 is 8510404401.

It is a happy number.

10440401580 is a `hidden beast` number, since 1 + 0 + 4 + 40 + 40 + 1 + 580 = 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 143 ways as a sum of consecutive naturals, for example, 9551514 + ... + 9552606.

It is an arithmetic number, because the mean of its divisors is an integer number (92393770).

Almost surely, 2^10440401580 is an apocalyptic number.

10440401580 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 10440401580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19957054320).

10440401580 is an abundant number, since it is smaller than the sum of its proper divisors (29473707060).

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

10440401580 is a wasteful number, since it uses less digits than its factorization.

10440401580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10440401580 its reverse (8510404401), we get a palindrome (18950805981).

The spelling of 10440401580 in words is "ten billion, four hundred forty million, four hundred one thousand, five hundred eighty".