40198264492032 has 1040 divisors, whose sum is σ = 125014967389312. Its totient is φ = 12865052344320.

The previous prime is 40198264492019. The next prime is 40198264492069. The reversal of 40198264492032 is 23029446289104.

40198264492032 is a `hidden beast` number, since 4 + 0 + 1 + 98 + 2 + 64 + 492 + 0 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40198264492032.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 222089858982 + ... + 222089859162.

Almost surely, 2^{40198264492032} 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 40198264492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62507483694656).

40198264492032 is an abundant number, since it is smaller than the sum of its proper divisors (84816702897280).

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

40198264492032 is a wasteful number, since it uses less digits than its factorization.

40198264492032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 40198264492032 in words is "forty trillion, one hundred ninety-eight billion, two hundred sixty-four million, four hundred ninety-two thousand, thirty-two".