40596940800 has 864 divisors, whose sum is σ = 163021753440. Its totient is φ = 9953280000.

The previous prime is 40596940789. The next prime is 40596940817. The reversal of 40596940800 is 804969504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×40596940800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161740675 + ... + 161740925.

It is an arithmetic number, because the mean of its divisors is an integer number (188682585).

Almost surely, 2^40596940800 is an apocalyptic number.

40596940800 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 40596940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81510876720).

40596940800 is an abundant number, since it is smaller than the sum of its proper divisors (122424812640).

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

40596940800 is a wasteful number, since it uses less digits than its factorization.

40596940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 40596940800 in words is "forty billion, five hundred ninety-six million, nine hundred forty thousand, eight hundred".