40403119680 has 672 divisors, whose sum is σ = 179082435840. Its totient is φ = 8393932800.

The previous prime is 40403119661. The next prime is 40403119681. The reversal of 40403119680 is 8691130404.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (40403119681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7315320 + ... + 7320840.

It is an arithmetic number, because the mean of its divisors is an integer number (266491720).

Almost surely, 2^40403119680 is an apocalyptic number.

40403119680 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 40403119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89541217920).

40403119680 is an abundant number, since it is smaller than the sum of its proper divisors (138679316160).

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

40403119680 is a wasteful number, since it uses less digits than its factorization.

40403119680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 40403119680 in words is "forty billion, four hundred three million, one hundred nineteen thousand, six hundred eighty".