536411226240 has 768 divisors, whose sum is σ = 1964573170560. Its totient is φ = 134701056000.

The previous prime is 536411226229. The next prime is 536411226251. The reversal of 536411226240 is 42622114635.

536411226240 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 1 + 1 + 22 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (536411226229) and next prime (536411226251).

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 = 536411226195 and 536411226204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025642619 + ... + 1025643141.

Almost surely, 2^536411226240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536411226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982286585280).

536411226240 is an abundant number, since it is smaller than the sum of its proper divisors (1428161944320).

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

536411226240 is a wasteful number, since it uses less digits than its factorization.

536411226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 536411226240 in words is "five hundred thirty-six billion, four hundred eleven million, two hundred twenty-six thousand, two hundred forty".