416139280900 has 144 divisors (see below), whose sum is σ = 1046835498240. Its totient is φ = 140641344000.

The previous prime is 416139280871. The next prime is 416139280913. The reversal of 416139280900 is 9082931614.

It is a happy number.

It is a super-2 number, since 2×416139280900² (a number of 24 digits) contains 22 as substring.

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, 16177449 + ... + 16203151.

It is an arithmetic number, because the mean of its divisors is an integer number (7269690960).

Almost surely, 2^416139280900 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 416139280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523417749120).

416139280900 is an abundant number, since it is smaller than the sum of its proper divisors (630696217340).

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

416139280900 is a wasteful number, since it uses less digits than its factorization.

416139280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26054 (or 26047 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 416139280900 in words is "four hundred sixteen billion, one hundred thirty-nine million, two hundred eighty thousand, nine hundred".