10100403040 has 384 divisors, whose sum is σ = 32006016000. Its totient is φ = 2921619456.

The previous prime is 10100403029. The next prime is 10100403077. The reversal of 10100403040 is 4030400101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10100403040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8021931 + ... + 8023189.

It is an arithmetic number, because the mean of its divisors is an integer number (83349000).

Almost surely, 2^10100403040 is an apocalyptic number.

10100403040 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 10100403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008000).

10100403040 is an abundant number, since it is smaller than the sum of its proper divisors (21905612960).

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

10100403040 is a wasteful number, since it uses less digits than its factorization.

10100403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10100403040 its reverse (4030400101), we get a palindrome (14130803141).

The spelling of 10100403040 in words is "ten billion, one hundred million, four hundred three thousand, forty".