4053135550400 has 336 divisors, whose sum is σ = 10593217490688. Its totient is φ = 1523174400000.

The previous prime is 4053135550381. The next prime is 4053135550411. The reversal of 4053135550400 is 40555313504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674283395 + ... + 674289405.

It is an arithmetic number, because the mean of its divisors is an integer number (31527433008).

Almost surely, 2^{4053135550400} is an apocalyptic number.

4053135550400 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 4053135550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296608745344).

4053135550400 is an abundant number, since it is smaller than the sum of its proper divisors (6540081940288).

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

4053135550400 is a wasteful number, since it uses less digits than its factorization.

4053135550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 4053135550400 in words is "four trillion, fifty-three billion, one hundred thirty-five million, five hundred fifty thousand, four hundred".