40828815190800 has 1920 divisors, whose sum is σ = 184499261291520. Its totient is φ = 8451021496320.

The previous prime is 40828815190781. The next prime is 40828815190829. The reversal of 40828815190800 is 809151882804.

40828815190800 is a `hidden beast` number, since 40 + 8 + 2 + 8 + 8 + 1 + 519 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4219155562 + ... + 4219165238.

It is an arithmetic number, because the mean of its divisors is an integer number (96093365256).

Almost surely, 2^{40828815190800} is an apocalyptic number.

40828815190800 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 40828815190800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92249630645760).

40828815190800 is an abundant number, since it is smaller than the sum of its proper divisors (143670446100720).

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

40828815190800 is a wasteful number, since it uses less digits than its factorization.

40828815190800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 40828815190800 in words is "forty trillion, eight hundred twenty-eight billion, eight hundred fifteen million, one hundred ninety thousand, eight hundred".