40404153911968 has 144 divisors (see below), whose sum is σ = 101039268909600. Its totient is φ = 15727145172480.

The previous prime is 40404153911959. The next prime is 40404153911969. The reversal of 40404153911968 is 86911935140404.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40404153911969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17342443 + ... + 19533781.

It is an arithmetic number, because the mean of its divisors is an integer number (701661589650).

Almost surely, 2^{40404153911968} 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 40404153911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50519634454800).

40404153911968 is an abundant number, since it is smaller than the sum of its proper divisors (60635114997632).

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

40404153911968 is a wasteful number, since it uses less digits than its factorization.

40404153911968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192443 (or 2192428 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 40404153911968 in words is "forty trillion, four hundred four billion, one hundred fifty-three million, nine hundred eleven thousand, nine hundred sixty-eight".