253414223040 has 224 divisors, whose sum is σ = 878763271680. Its totient is φ = 61361766400.

The previous prime is 253414223033. The next prime is 253414223047. The reversal of 253414223040 is 40322414352.

It is an interprime number because it is at equal distance from previous prime (253414223033) and next prime (253414223047).

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 = 253414222989 and 253414223007.

It is not an unprimeable number, because it can be changed into a prime (253414223047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9289741 + ... + 9316979.

It is an arithmetic number, because the mean of its divisors is an integer number (3923050320).

Almost surely, 2^253414223040 is an apocalyptic number.

253414223040 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 253414223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439381635840).

253414223040 is an abundant number, since it is smaller than the sum of its proper divisors (625349048640).

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

253414223040 is a wasteful number, since it uses less digits than its factorization.

253414223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28151 (or 28141 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 253414223040 its reverse (40322414352), we get a palindrome (293736637392).

The spelling of 253414223040 in words is "two hundred fifty-three billion, four hundred fourteen million, two hundred twenty-three thousand, forty".