201414314040 has 64 divisors (see below), whose sum is σ = 608091680160. Its totient is φ = 53368373760.

The previous prime is 201414314027. The next prime is 201414314053. The reversal of 201414314040 is 40413414102.

It is an interprime number because it is at equal distance from previous prime (201414314027) and next prime (201414314053).

It is a super-2 number, since 2×201414314040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201414314040.

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, 5326551 + ... + 5364230.

Almost surely, 2^201414314040 is an apocalyptic number.

201414314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201414314040 is an abundant number, since it is smaller than the sum of its proper divisors (406677366120).

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

201414314040 is a wasteful number, since it uses less digits than its factorization.

201414314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690952 (or 10690948 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201414314040 its reverse (40413414102), we get a palindrome (241827728142).

The spelling of 201414314040 in words is "two hundred one billion, four hundred fourteen million, three hundred fourteen thousand, forty".