415770001920 has 2560 divisors, whose sum is σ = 1979873280000. Its totient is φ = 81935400960.

The previous prime is 415770001877. The next prime is 415770001987. The reversal of 415770001920 is 29100077514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5855915485 + ... + 5855915555.

It is an arithmetic number, because the mean of its divisors is an integer number (773388000).

Almost surely, 2^415770001920 is an apocalyptic number.

415770001920 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 415770001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640000).

415770001920 is an abundant number, since it is smaller than the sum of its proper divisors (1564103278080).

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

415770001920 is a wasteful number, since it uses less digits than its factorization.

415770001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 415770001920 in words is "four hundred fifteen billion, seven hundred seventy million, one thousand, nine hundred twenty".