40130100103104 has 672 divisors, whose sum is σ = 136707471194112. Its totient is φ = 11116683264000.

The previous prime is 40130100103061. The next prime is 40130100103141.

40130100103104 is a `hidden beast` number, since 40 + 1 + 301 + 0 + 0 + 10 + 310 + 4 = 666.

40130100103104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40130100103104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1002455569 + ... + 1002495599.

It is an arithmetic number, because the mean of its divisors is an integer number (203433736896).

Almost surely, 2^{40130100103104} is an apocalyptic number.

40130100103104 is a gapful number since it is divisible by the number (44) 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 40130100103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68353735597056).

40130100103104 is an abundant number, since it is smaller than the sum of its proper divisors (96577371091008).

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

40130100103104 is a wasteful number, since it uses less digits than its factorization.

40130100103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40345 (or 40332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 40130100 and 103104, that added together give a palindrome (40233204).

The spelling of 40130100103104 in words is "forty trillion, one hundred thirty billion, one hundred million, one hundred three thousand, one hundred four".