40123418904 has 128 divisors (see below), whose sum is σ = 118087372800. Its totient is φ = 12579494400.

The previous prime is 40123418897. The next prime is 40123418957. The reversal of 40123418904 is 40981432104.

It is a happy number.

40123418904 is a `hidden beast` number, since 401 + 234 + 18 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×40123418904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8101629 + ... + 8106579.

It is an arithmetic number, because the mean of its divisors is an integer number (922557600).

Almost surely, 2^40123418904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40123418904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59043686400).

40123418904 is an abundant number, since it is smaller than the sum of its proper divisors (77963953896).

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

40123418904 is a wasteful number, since it uses less digits than its factorization.

40123418904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 40123418904 in words is "forty billion, one hundred twenty-three million, four hundred eighteen thousand, nine hundred four".