40220134020 has 288 divisors, whose sum is σ = 135431622144. Its totient is φ = 9580032000.

The previous prime is 40220134007. The next prime is 40220134067. The reversal of 40220134020 is 2043102204.

40220134020 is a `hidden beast` number, since 40 + 220 + 1 + 3 + 402 + 0 = 666.

It is a super-2 number, since 2×40220134020² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40220133984 and 40220134002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66921720 + ... + 66922320.

It is an arithmetic number, because the mean of its divisors is an integer number (470248688).

Almost surely, 2^40220134020 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 40220134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67715811072).

40220134020 is an abundant number, since it is smaller than the sum of its proper divisors (95211488124).

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

40220134020 is a wasteful number, since it uses less digits than its factorization.

40220134020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40220134020 its reverse (2043102204), we get a palindrome (42263236224).

The spelling of 40220134020 in words is "forty billion, two hundred twenty million, one hundred thirty-four thousand, twenty".