402715465152 has 448 divisors, whose sum is σ = 1444069638144. Its totient is φ = 95647887360.

The previous prime is 402715465151. The next prime is 402715465169. The reversal of 402715465152 is 251564517204.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402715465151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20554753 + ... + 20574335.

It is an arithmetic number, because the mean of its divisors is an integer number (3223369728).

Almost surely, 2^402715465152 is an apocalyptic number.

402715465152 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 402715465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722034819072).

402715465152 is an abundant number, since it is smaller than the sum of its proper divisors (1041354172992).

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

402715465152 is a wasteful number, since it uses less digits than its factorization.

402715465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19736 (or 19726 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 402715465152 in words is "four hundred two billion, seven hundred fifteen million, four hundred sixty-five thousand, one hundred fifty-two".