414886100473152 has 1344 divisors, whose sum is σ = 1588469637888000. Its totient is φ = 103866341990400.

The previous prime is 414886100473151. The next prime is 414886100473343. The reversal of 414886100473152 is 251374001688414.

It is a happy number.

414886100473152 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 8 + 6 + 10 + 0 + 473 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414886100473151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4980643599 + ... + 4980726897.

It is an arithmetic number, because the mean of its divisors is an integer number (1181897052000).

Almost surely, 2^{414886100473152} is an apocalyptic number.

414886100473152 is a gapful number since it is divisible by the number (42) 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 414886100473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794234818944000).

414886100473152 is an abundant number, since it is smaller than the sum of its proper divisors (1173583537414848).

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

414886100473152 is a wasteful number, since it uses less digits than its factorization.

414886100473152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83473 (or 83446 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 414886100473152 in words is "four hundred fourteen trillion, eight hundred eighty-six billion, one hundred million, four hundred seventy-three thousand, one hundred fifty-two".