253310407140 has 192 divisors, whose sum is σ = 833571648000. Its totient is φ = 56262242304.

The previous prime is 253310407139. The next prime is 253310407151. The reversal of 253310407140 is 41704013352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253310407098 and 253310407107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12561786 + ... + 12581934.

It is an arithmetic number, because the mean of its divisors is an integer number (4341519000).

Almost surely, 2^253310407140 is an apocalyptic number.

253310407140 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 253310407140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416785824000).

253310407140 is an abundant number, since it is smaller than the sum of its proper divisors (580261240860).

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

253310407140 is a wasteful number, since it uses less digits than its factorization.

253310407140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21014 (or 21012 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 253310407140 in words is "two hundred fifty-three billion, three hundred ten million, four hundred seven thousand, one hundred forty".