4235455442400 has 1152 divisors, whose sum is σ = 17259131344896. Its totient is φ = 878432256000.

The previous prime is 4235455442399. The next prime is 4235455442429. The reversal of 4235455442400 is 42445545324.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3463168189 + ... + 3463169411.

It is an arithmetic number, because the mean of its divisors is an integer number (14981884848).

Almost surely, 2^{4235455442400} is an apocalyptic number.

4235455442400 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 4235455442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629565672448).

4235455442400 is an abundant number, since it is smaller than the sum of its proper divisors (13023675902496).

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

4235455442400 is a wasteful number, since it uses less digits than its factorization.

4235455442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

The spelling of 4235455442400 in words is "four trillion, two hundred thirty-five billion, four hundred fifty-five million, four hundred forty-two thousand, four hundred".