40819879800 has 768 divisors, whose sum is σ = 171739008000. Its totient is φ = 8699166720.

The previous prime is 40819879697. The next prime is 40819879847. The reversal of 40819879800 is 897891804.

40819879800 is a `hidden beast` number, since 408 + 1 + 98 + 79 + 80 + 0 = 666.

40819879800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 89321172 + ... + 89321628.

It is an arithmetic number, because the mean of its divisors is an integer number (223618500).

Almost surely, 2^40819879800 is an apocalyptic number.

40819879800 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 40819879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85869504000).

40819879800 is an abundant number, since it is smaller than the sum of its proper divisors (130919128200).

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

40819879800 is a wasteful number, since it uses less digits than its factorization.

40819879800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 40819879800 in words is "forty billion, eight hundred nineteen million, eight hundred seventy-nine thousand, eight hundred".