416374993152 has 432 divisors, whose sum is σ = 1317586862592. Its totient is φ = 125889085440.

The previous prime is 416374993127. The next prime is 416374993159. The reversal of 416374993152 is 251399473614.

416374993152 is a `hidden beast` number, since 41 + 6 + 37 + 499 + 31 + 52 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (416374993159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372761298 + ... + 372762414.

Almost surely, 2^416374993152 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 416374993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658793431296).

416374993152 is an abundant number, since it is smaller than the sum of its proper divisors (901211869440).

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

416374993152 is a wasteful number, since it uses less digits than its factorization.

416374993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1477 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 416374993152 in words is "four hundred sixteen billion, three hundred seventy-four million, nine hundred ninety-three thousand, one hundred fifty-two".