253453433040 has 240 divisors, whose sum is σ = 892184896512. Its totient is φ = 64358148096.

The previous prime is 253453432993. The next prime is 253453433059. The reversal of 253453433040 is 40334354352.

253453433040 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 5 + 343 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 253453432986 and 253453433004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3658564 + ... + 3727196.

Almost surely, 2^253453433040 is an apocalyptic number.

253453433040 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 253453433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446092448256).

253453433040 is an abundant number, since it is smaller than the sum of its proper divisors (638731463472).

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

253453433040 is a wasteful number, since it uses less digits than its factorization.

253453433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68898 (or 68889 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 253453433040 its reverse (40334354352), we get a palindrome (293787787392).

The spelling of 253453433040 in words is "two hundred fifty-three billion, four hundred fifty-three million, four hundred thirty-three thousand, forty".