253046390940 has 288 divisors, whose sum is σ = 947788732800. Its totient is φ = 54436644864.

The previous prime is 253046390921. The next prime is 253046391043. The reversal of 253046390940 is 49093640352.

253046390940 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 4 + 639 + 0 + 9 + 4 + 0 = 666.

253046390940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 929034 + ... + 1170126.

It is an arithmetic number, because the mean of its divisors is an integer number (3290933100).

Almost surely, 2^253046390940 is an apocalyptic number.

253046390940 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 253046390940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473894366400).

253046390940 is an abundant number, since it is smaller than the sum of its proper divisors (694742341860).

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

253046390940 is a wasteful number, since it uses less digits than its factorization.

253046390940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241146 (or 241127 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 253046390940 in words is "two hundred fifty-three billion, forty-six million, three hundred ninety thousand, nine hundred forty".