416121138 has 80 divisors (see below), whose sum is σ = 1003857624. Its totient is φ = 128355840.

The previous prime is 416121113. The next prime is 416121143. The reversal of 416121138 is 831121614.

It is a happy number.

416121138 is a `hidden beast` number, since 4 + 1 + 612 + 11 + 38 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303909489 + 112211649 = 17433^2 + 10593^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166756 + ... + 169232.

Almost surely, 2^416121138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416121138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501928812).

416121138 is an abundant number, since it is smaller than the sum of its proper divisors (587736486).

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

416121138 is a wasteful number, since it uses less digits than its factorization.

416121138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2560 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 416121138 is about 20399.0474777623. The cubic root of 416121138 is about 746.5746840967.

The spelling of 416121138 in words is "four hundred sixteen million, one hundred twenty-one thousand, one hundred thirty-eight".