262533643402040 has 64 divisors (see below), whose sum is σ = 598913955171360. Its totient is φ = 103553906319360.

The previous prime is 262533643402013. The next prime is 262533643402123. The reversal of 262533643402040 is 40204346335262.

It is a junction number, because it is equal to n+sod(n) for n = 262533643401982 and 262533643402000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5281832 + ... + 23515208.

Almost surely, 2^{262533643402040} is an apocalyptic number.

262533643402040 is a gapful number since it is divisible by the number (20) 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 262533643402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299456977585680).

262533643402040 is an abundant number, since it is smaller than the sum of its proper divisors (336380311769320).

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

262533643402040 is a wasteful number, since it uses less digits than its factorization.

262533643402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18238392 (or 18238388 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 44.

The spelling of 262533643402040 in words is "two hundred sixty-two trillion, five hundred thirty-three billion, six hundred forty-three million, four hundred two thousand, forty".