402997248000 has 576 divisors, whose sum is σ = 1491824355840. Its totient is φ = 107347968000.

The previous prime is 402997247963. The next prime is 402997248013. The reversal of 402997248000 is 842799204.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442367545 + ... + 442368455.

It is an arithmetic number, because the mean of its divisors is an integer number (2589972840).

Almost surely, 2^402997248000 is an apocalyptic number.

402997248000 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 402997248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745912177920).

402997248000 is an abundant number, since it is smaller than the sum of its proper divisors (1088827107840).

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

402997248000 is an frugal number, since it uses more digits than its factorization.

402997248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 402997248000 in words is "four hundred two billion, nine hundred ninety-seven million, two hundred forty-eight thousand".