416946126240 has 2304 divisors, whose sum is σ = 1948830105600. Its totient is φ = 82233999360.

The previous prime is 416946126227. The next prime is 416946126269. The reversal of 416946126240 is 42621649614.

416946126240 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 4 + 6 + 12 + 624 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13449875025 + ... + 13449875055.

It is an arithmetic number, because the mean of its divisors is an integer number (845846400).

Almost surely, 2^416946126240 is an apocalyptic number.

416946126240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416946126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974415052800).

416946126240 is an abundant number, since it is smaller than the sum of its proper divisors (1531883979360).

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

416946126240 is a wasteful number, since it uses less digits than its factorization.

416946126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 416946126240 in words is "four hundred sixteen billion, nine hundred forty-six million, one hundred twenty-six thousand, two hundred forty".