253551413004240 has 480 divisors, whose sum is σ = 883250449960320. Its totient is φ = 60070310436864.

The previous prime is 253551413004217. The next prime is 253551413004347. The reversal of 253551413004240 is 42400314155352.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 372528079 + ... + 373208081.

It is an arithmetic number, because the mean of its divisors is an integer number (1840105104084).

Almost surely, 2^{253551413004240} is an apocalyptic number.

253551413004240 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 253551413004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441625224980160).

253551413004240 is an abundant number, since it is smaller than the sum of its proper divisors (629699036956080).

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

253551413004240 is a wasteful number, since it uses less digits than its factorization.

253551413004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680391 (or 680372 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 253551413004240 its reverse (42400314155352), we get a palindrome (295951727159592).

The spelling of 253551413004240 in words is "two hundred fifty-three trillion, five hundred fifty-one billion, four hundred thirteen million, four thousand, two hundred forty".