416436050697408 has 504 divisors, whose sum is σ = 1439475616191600. Its totient is φ = 114632811933696.

The previous prime is 416436050697377. The next prime is 416436050697431. The reversal of 416436050697408 is 804796050634614.

416436050697408 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 36 + 0 + 506 + 97 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 381692898 + ... + 382782366.

Almost surely, 2^{416436050697408} is an apocalyptic number.

416436050697408 is a gapful number since it is divisible by the number (48) 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 416436050697408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719737808095800).

416436050697408 is an abundant number, since it is smaller than the sum of its proper divisors (1023039565494192).

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

416436050697408 is a wasteful number, since it uses less digits than its factorization.

416436050697408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089997 (or 1089977 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 416436050697408 in words is "four hundred sixteen trillion, four hundred thirty-six billion, fifty million, six hundred ninety-seven thousand, four hundred eight".