414142979040 has 288 divisors, whose sum is σ = 1685382806016. Its totient is φ = 90545495040.

The previous prime is 414142979039. The next prime is 414142979051. The reversal of 414142979040 is 40979241414.

414142979040 is a `hidden beast` number, since 414 + 142 + 9 + 7 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661326 + ... + 1125005.

It is an arithmetic number, because the mean of its divisors is an integer number (5852023632).

Almost surely, 2^414142979040 is an apocalyptic number.

414142979040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414142979040 is an abundant number, since it is smaller than the sum of its proper divisors (1271239826976).

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

414142979040 is a wasteful number, since it uses less digits than its factorization.

414142979040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786382 (or 1786371 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 414142979040 in words is "four hundred fourteen billion, one hundred forty-two million, nine hundred seventy-nine thousand, forty".