416375633157120 has 4224 divisors, whose sum is σ = 1960397888956416. Its totient is φ = 82232374984704.

The previous prime is 416375633157091. The next prime is 416375633157223. The reversal of 416375633157120 is 21751336573614.

416375633157120 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 7 + 5 + 63 + 3 + 1 + 571 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 436910422564 + ... + 436910423516.

Almost surely, 2^{416375633157120} is an apocalyptic number.

416375633157120 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 416375633157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980198944478208).

416375633157120 is an abundant number, since it is smaller than the sum of its proper divisors (1544022255799296).

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

416375633157120 is a wasteful number, since it uses less digits than its factorization.

416375633157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 416375633157120 in words is "four hundred sixteen trillion, three hundred seventy-five billion, six hundred thirty-three million, one hundred fifty-seven thousand, one hundred twenty".