402241956480 has 1440 divisors, whose sum is σ = 1811363386140. Its totient is φ = 84778057728.

The previous prime is 402241956419. The next prime is 402241956509. The reversal of 402241956480 is 84659142204.

It is a happy number.

402241956480 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 4 + 1 + 9 + 564 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 884229696 + 401357726784 = 29736^2 + 633528^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 429286572 + ... + 429287508.

Almost surely, 2^402241956480 is an apocalyptic number.

402241956480 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 402241956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905681693070).

402241956480 is an abundant number, since it is smaller than the sum of its proper divisors (1409121429660).

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

402241956480 is a wasteful number, since it uses less digits than its factorization.

402241956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 402241956480 in words is "four hundred two billion, two hundred forty-one million, nine hundred fifty-six thousand, four hundred eighty".