40374199872 has 280 divisors, whose sum is σ = 126501144000. Its totient is φ = 12697150464.

The previous prime is 40374199871. The next prime is 40374199937. The reversal of 40374199872 is 27899147304.

40374199872 is a `hidden beast` number, since 4 + 0 + 374 + 199 + 87 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40374199871) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28858629 + ... + 28860027.

It is an arithmetic number, because the mean of its divisors is an integer number (451789800).

Almost surely, 2^40374199872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40374199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63250572000).

40374199872 is an abundant number, since it is smaller than the sum of its proper divisors (86126944128).

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

40374199872 is a wasteful number, since it uses less digits than its factorization.

40374199872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 40374199872 in words is "forty billion, three hundred seventy-four million, one hundred ninety-nine thousand, eight hundred seventy-two".