40404080640 has 1536 divisors, whose sum is σ = 181149696000. Its totient is φ = 7431782400.

The previous prime is 40404080603. The next prime is 40404080653. The reversal of 40404080640 is 4608040404.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40404080598 and 40404080607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1303357425 + ... + 1303357455.

It is an arithmetic number, because the mean of its divisors is an integer number (117936000).

Almost surely, 2^40404080640 is an apocalyptic number.

40404080640 is a gapful number since it is divisible by the number (40) 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 40404080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848000).

40404080640 is an abundant number, since it is smaller than the sum of its proper divisors (140745615360).

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

40404080640 is a wasteful number, since it uses less digits than its factorization.

40404080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 40404080640 in words is "forty billion, four hundred four million, eighty thousand, six hundred forty".