40202442000 has 720 divisors, whose sum is σ = 172006848000. Its totient is φ = 8701862400.

The previous prime is 40202441989. The next prime is 40202442037. The reversal of 40202442000 is 24420204.

40202442000 is a `hidden beast` number, since 40 + 202 + 4 + 420 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16756801 + ... + 16759199.

It is an arithmetic number, because the mean of its divisors is an integer number (238898400).

Almost surely, 2^40202442000 is an apocalyptic number.

40202442000 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 40202442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86003424000).

40202442000 is an abundant number, since it is smaller than the sum of its proper divisors (131804406000).

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

40202442000 is a wasteful number, since it uses less digits than its factorization.

40202442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40202442000 its reverse (24420204), we get a palindrome (40226862204).

The spelling of 40202442000 in words is "forty billion, two hundred two million, four hundred forty-two thousand".