402296094720 has 960 divisors, whose sum is σ = 1632960483840. Its totient is φ = 93088382976.

The previous prime is 402296094713. The next prime is 402296094727. The reversal of 402296094720 is 27490692204.

It is a happy number.

402296094720 is a `hidden beast` number, since 402 + 2 + 96 + 0 + 94 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (402296094713) and next prime (402296094727).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402296094727) 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, 488816229 + ... + 488817051.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000504).

Almost surely, 2^402296094720 is an apocalyptic number.

402296094720 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 402296094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480241920).

402296094720 is an abundant number, since it is smaller than the sum of its proper divisors (1230664389120).

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

402296094720 is a wasteful number, since it uses less digits than its factorization.

402296094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 402296094720 in words is "four hundred two billion, two hundred ninety-six million, ninety-four thousand, seven hundred twenty".