415053789696 has 1080 divisors, whose sum is σ = 1539812745900. Its totient is φ = 107240620032.

The previous prime is 415053789691. The next prime is 415053789749. The reversal of 415053789696 is 696987350514.

415053789696 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 537 + 8 + 9 + 6 + 96 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18153789696 + 396900000000 = 134736^2 + 630000^2 .

It is a super-2 number, since 2×415053789696² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415053789691) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2785595830 + ... + 2785595978.

Almost surely, 2^415053789696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415053789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769906372950).

415053789696 is an abundant number, since it is smaller than the sum of its proper divisors (1124758956204).

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

415053789696 is a wasteful number, since it uses less digits than its factorization.

415053789696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 415053789696 in words is "four hundred fifteen billion, fifty-three million, seven hundred eighty-nine thousand, six hundred ninety-six".