40804062248400 has 960 divisors, whose sum is σ = 157434672107520. Its totient is φ = 8923895193600.

The previous prime is 40804062248387. The next prime is 40804062248431. The reversal of 40804062248400 is 484226040804.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 436094422 + ... + 436187978.

It is an arithmetic number, because the mean of its divisors is an integer number (163994450112).

Almost surely, 2^{40804062248400} is an apocalyptic number.

40804062248400 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 40804062248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78717336053760).

40804062248400 is an abundant number, since it is smaller than the sum of its proper divisors (116630609859120).

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

40804062248400 is a wasteful number, since it uses less digits than its factorization.

40804062248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93692 (or 93681 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 42.

The spelling of 40804062248400 in words is "forty trillion, eight hundred four billion, sixty-two million, two hundred forty-eight thousand, four hundred".