63415941120 has 1152 divisors, whose sum is σ = 272479334400. Its totient is φ = 13934592000.

The previous prime is 63415941031. The next prime is 63415941137. The reversal of 63415941120 is 2114951436.

It is a happy number.

63415941120 is a `hidden beast` number, since 6 + 3 + 41 + 594 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 419973045 + ... + 419973195.

It is an arithmetic number, because the mean of its divisors is an integer number (236527200).

Almost surely, 2^63415941120 is an apocalyptic number.

63415941120 is a gapful number since it is divisible by the number (60) 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 63415941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136239667200).

63415941120 is an abundant number, since it is smaller than the sum of its proper divisors (209063393280).

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

63415941120 is a wasteful number, since it uses less digits than its factorization.

63415941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 63415941120 in words is "sixty-three billion, four hundred fifteen million, nine hundred forty-one thousand, one hundred twenty".