4254508160640 has 1536 divisors, whose sum is σ = 17119234137600. Its totient is φ = 992907362304.

The previous prime is 4254508160627. The next prime is 4254508160653. The reversal of 4254508160640 is 460618054524.

It is a happy number.

4254508160640 is a `hidden beast` number, since 4 + 2 + 5 + 450 + 81 + 60 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4254508160627) and next prime (4254508160653).

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

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, 39032184906 + ... + 39032185014.

It is an arithmetic number, because the mean of its divisors is an integer number (11145334725).

Almost surely, 2^{4254508160640} is an apocalyptic number.

4254508160640 is a gapful number since it is divisible by the number (40) 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 4254508160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559617068800).

4254508160640 is an abundant number, since it is smaller than the sum of its proper divisors (12864725976960).

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

4254508160640 is a wasteful number, since it uses less digits than its factorization.

4254508160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 4254508160640 in words is "four trillion, two hundred fifty-four billion, five hundred eight million, one hundred sixty thousand, six hundred forty".