414324232421040 has 160 divisors (see below), whose sum is σ = 1461924527716800. Its totient is φ = 107791670200320.

The previous prime is 414324232421027. The next prime is 414324232421053. The reversal of 414324232421040 is 40124232423414.

414324232421040 is a `hidden beast` number, since 4 + 1 + 4 + 324 + 2 + 324 + 2 + 1 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (414324232421027) and next prime (414324232421053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 414324232420986 and 414324232421004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2339140395 + ... + 2339317514.

It is an arithmetic number, because the mean of its divisors is an integer number (9137028298230).

Almost surely, 2^{414324232421040} is an apocalyptic number.

414324232421040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414324232421040 is an abundant number, since it is smaller than the sum of its proper divisors (1047600295295760).

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

414324232421040 is a wasteful number, since it uses less digits than its factorization.

414324232421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678457972 (or 4678457960 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 414324232421040 its reverse (40124232423414), we get a palindrome (454448464844454).

The spelling of 414324232421040 in words is "four hundred fourteen trillion, three hundred twenty-four billion, two hundred thirty-two million, four hundred twenty-one thousand, forty".