254153435403420 has 576 divisors, whose sum is σ = 952680969676800. Its totient is φ = 53537297172480.

The previous prime is 254153435403323. The next prime is 254153435403451. The reversal of 254153435403420 is 24304534351452.

254153435403420 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 53 + 4 + 3 + 540 + 34 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 5340343825 + ... + 5340391415.

It is an arithmetic number, because the mean of its divisors is an integer number (1653960016800).

Almost surely, 2^{254153435403420} is an apocalyptic number.

254153435403420 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 254153435403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476340484838400).

254153435403420 is an abundant number, since it is smaller than the sum of its proper divisors (698527534273380).

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

254153435403420 is a wasteful number, since it uses less digits than its factorization.

254153435403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53698 (or 53693 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 254153435403420 its reverse (24304534351452), we get a palindrome (278457969754872).

The spelling of 254153435403420 in words is "two hundred fifty-four trillion, one hundred fifty-three billion, four hundred thirty-five million, four hundred three thousand, four hundred twenty".