414022140120 has 64 divisors (see below), whose sum is σ = 1242341100000. Its totient is φ = 110381488128.

The previous prime is 414022140101. The next prime is 414022140143. The reversal of 414022140120 is 21041220414.

It is a super-2 number, since 2×414022140120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166656 + ... + 925104.

Almost surely, 2^414022140120 is an apocalyptic number.

414022140120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414022140120 is an abundant number, since it is smaller than the sum of its proper divisors (828318959880).

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

414022140120 is a wasteful number, since it uses less digits than its factorization.

414022140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763012 (or 763008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 414022140120 its reverse (21041220414), we get a palindrome (435063360534).

The spelling of 414022140120 in words is "four hundred fourteen billion, twenty-two million, one hundred forty thousand, one hundred twenty".