253402145040 has 80 divisors (see below), whose sum is σ = 856959990336. Its totient is φ = 61430822400.

The previous prime is 253402145039. The next prime is 253402145069. The reversal of 253402145040 is 40541204352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×253402145040² (a number of 24 digits) contains 22 as substring.

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 = 253402144989 and 253402145007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47990191 + ... + 47995470.

Almost surely, 2^253402145040 is an apocalyptic number.

253402145040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253402145040 is an abundant number, since it is smaller than the sum of its proper divisors (603557845296).

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

253402145040 is a wasteful number, since it uses less digits than its factorization.

253402145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95985688 (or 95985682 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 253402145040 its reverse (40541204352), we get a palindrome (293943349392).

The spelling of 253402145040 in words is "two hundred fifty-three billion, four hundred two million, one hundred forty-five thousand, forty".