254153363040 has 120 divisors (see below), whose sum is σ = 896949622800. Its totient is φ = 67774226688.

The previous prime is 254153363017. The next prime is 254153363047. The reversal of 254153363040 is 40363351452.

254153363040 is a `hidden beast` number, since 2 + 5 + 4 + 15 + 3 + 3 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 254153362986 and 254153363004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254153363047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9792340 + ... + 9818259.

It is an arithmetic number, because the mean of its divisors is an integer number (7474580190).

Almost surely, 2^254153363040 is an apocalyptic number.

254153363040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254153363040 is an abundant number, since it is smaller than the sum of its proper divisors (642796259760).

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

254153363040 is a wasteful number, since it uses less digits than its factorization.

254153363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19610626 (or 19610609 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 254153363040 in words is "two hundred fifty-four billion, one hundred fifty-three million, three hundred sixty-three thousand, forty".