253234021040 has 480 divisors, whose sum is σ = 813487504896. Its totient is φ = 71151575040.

The previous prime is 253234021039. The next prime is 253234021069. The reversal of 253234021040 is 40120432352.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 44761892 + ... + 44767548.

Almost surely, 2^253234021040 is an apocalyptic number.

253234021040 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 253234021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406743752448).

253234021040 is an abundant number, since it is smaller than the sum of its proper divisors (560253483856).

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

253234021040 is a wasteful number, since it uses less digits than its factorization.

253234021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5738 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 253234021040 its reverse (40120432352), we get a palindrome (293354453392).

The spelling of 253234021040 in words is "two hundred fifty-three billion, two hundred thirty-four million, twenty-one thousand, forty".