40220031002000 has 40 divisors (see below), whose sum is σ = 97252034967672. Its totient is φ = 16088012400000.

The previous prime is 40220031001981. The next prime is 40220031002017. The reversal of 40220031002000 is 20013002204.

It can be written as a sum of positive squares in 4 ways, for example, as 7063071630736 + 33156959371264 = 2657644^2 + 5758208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40220031002000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10055005751 + ... + 10055009750.

Almost surely, 2^{40220031002000} is an apocalyptic number.

40220031002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40220031002000 is an abundant number, since it is smaller than the sum of its proper divisors (57032003965672).

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

40220031002000 is a wasteful number, since it uses less digits than its factorization.

40220031002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20110015524 (or 20110015508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 40220031002000 its reverse (20013002204), we get a palindrome (40240044004204).

The spelling of 40220031002000 in words is "forty trillion, two hundred twenty billion, thirty-one million, two thousand".