4149153023400 has 576 divisors, whose sum is σ = 18016001902080. Its totient is φ = 862160889600.

The previous prime is 4149153023387. The next prime is 4149153023447. The reversal of 4149153023400 is 43203519414.

4149153023400 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 1 + 5 + 302 + 340 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3187827 + ... + 4296573.

It is an arithmetic number, because the mean of its divisors is an integer number (31277781080).

Almost surely, 2^{4149153023400} is an apocalyptic number.

4149153023400 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 4149153023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008000951040).

4149153023400 is an abundant number, since it is smaller than the sum of its proper divisors (13866848878680).

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

4149153023400 is a wasteful number, since it uses less digits than its factorization.

4149153023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108796 (or 1108775 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4149153023400 in words is "four trillion, one hundred forty-nine billion, one hundred fifty-three million, twenty-three thousand, four hundred".