402261360000 has 320 divisors, whose sum is σ = 1339137338880. Its totient is φ = 106953984000.

The previous prime is 402261359999. The next prime is 402261360071. The reversal of 402261360000 is 63162204.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88077717 + ... + 88082283.

It is an arithmetic number, because the mean of its divisors is an integer number (4184804184).

Almost surely, 2^402261360000 is an apocalyptic number.

402261360000 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 402261360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669568669440).

402261360000 is an abundant number, since it is smaller than the sum of its proper divisors (936875978880).

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

402261360000 is an equidigital number, since it uses as much as digits as its factorization.

402261360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 402261360000 in words is "four hundred two billion, two hundred sixty-one million, three hundred sixty thousand".