253718435040 has 192 divisors, whose sum is σ = 924949186560. Its totient is φ = 57258639360.

The previous prime is 253718435011. The next prime is 253718435051. The reversal of 253718435040 is 40534817352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 253718434983 and 253718435001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212481 + ... + 743360.

It is an arithmetic number, because the mean of its divisors is an integer number (4817443680).

Almost surely, 2^253718435040 is an apocalyptic number.

253718435040 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 253718435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462474593280).

253718435040 is an abundant number, since it is smaller than the sum of its proper divisors (671230751520).

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

253718435040 is a wasteful number, since it uses less digits than its factorization.

253718435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955945 (or 955937 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 253718435040 in words is "two hundred fifty-three billion, seven hundred eighteen million, four hundred thirty-five thousand, forty".