416438402880 has 224 divisors, whose sum is σ = 1400921516160. Its totient is φ = 104446689280.

The previous prime is 416438402873. The next prime is 416438402911. The reversal of 416438402880 is 88204834614.

416438402880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26414200 + ... + 26429960.

Almost surely, 2^416438402880 is an apocalyptic number.

416438402880 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 416438402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700460758080).

416438402880 is an abundant number, since it is smaller than the sum of its proper divisors (984483113280).

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

416438402880 is a wasteful number, since it uses less digits than its factorization.

416438402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17417 (or 17407 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 416438402880 in words is "four hundred sixteen billion, four hundred thirty-eight million, four hundred two thousand, eight hundred eighty".