40896313920 has 336 divisors, whose sum is σ = 175377091968. Its totient is φ = 8497889280.

The previous prime is 40896313907. The next prime is 40896313921. The reversal of 40896313920 is 2931369804.

It is a happy number.

40896313920 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 631 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40896313921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129552 + ... + 313968.

Almost surely, 2^40896313920 is an apocalyptic number.

40896313920 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 40896313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87688545984).

40896313920 is an abundant number, since it is smaller than the sum of its proper divisors (134480778048).

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

40896313920 is a wasteful number, since it uses less digits than its factorization.

40896313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184458 (or 184445 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 40896313920 in words is "forty billion, eight hundred ninety-six million, three hundred thirteen thousand, nine hundred twenty".