402513027840 has 1440 divisors, whose sum is σ = 1814353035264. Its totient is φ = 82771476480.

The previous prime is 402513027799. The next prime is 402513027953. The reversal of 402513027840 is 48720315204.

It is a happy number.

402513027840 is a `hidden beast` number, since 40 + 2 + 513 + 0 + 27 + 84 + 0 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 402513027795 and 402513027804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1013886522 + ... + 1013886918.

Almost surely, 2^402513027840 is an apocalyptic number.

402513027840 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 402513027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907176517632).

402513027840 is an abundant number, since it is smaller than the sum of its proper divisors (1411840007424).

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

402513027840 is a wasteful number, since it uses less digits than its factorization.

402513027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 402513027840 in words is "four hundred two billion, five hundred thirteen million, twenty-seven thousand, eight hundred forty".