253413401034000 has 480 divisors, whose sum is σ = 857397179568384. Its totient is φ = 64387060531200.

The previous prime is 253413401033993. The next prime is 253413401034061. The reversal of 253413401034000 is 430104314352.

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

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, 815562669 + ... + 815873331.

Almost surely, 2^{253413401034000} is an apocalyptic number.

253413401034000 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 253413401034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428698589784192).

253413401034000 is an abundant number, since it is smaller than the sum of its proper divisors (603983778534384).

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

253413401034000 is a wasteful number, since it uses less digits than its factorization.

253413401034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310992 (or 310953 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 253413401034000 its reverse (430104314352), we get a palindrome (253843505348352).

The spelling of 253413401034000 in words is "two hundred fifty-three trillion, four hundred thirteen billion, four hundred one million, thirty-four thousand".