4153529990400 has 1728 divisors, whose sum is σ = 17285293670400. Its totient is φ = 856977408000.

The previous prime is 4153529990341. The next prime is 4153529990417. The reversal of 4153529990400 is 40999253514.

4153529990400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4153529990400² (a number of 26 digits) contains 22 as substring.

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, 5620473231 + ... + 5620473969.

Almost surely, 2^{4153529990400} is an apocalyptic number.

4153529990400 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 4153529990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642646835200).

4153529990400 is an abundant number, since it is smaller than the sum of its proper divisors (13131763680000).

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

4153529990400 is a wasteful number, since it uses less digits than its factorization.

4153529990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 4153529990400 in words is "four trillion, one hundred fifty-three billion, five hundred twenty-nine million, nine hundred ninety thousand, four hundred".