4122254510400 has 336 divisors, whose sum is σ = 14569193664704. Its totient is φ = 1014400696320.

The previous prime is 4122254510399. The next prime is 4122254510447. The reversal of 4122254510400 is 40154522214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259139247 + ... + 259155153.

Almost surely, 2^{4122254510400} is an apocalyptic number.

4122254510400 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 4122254510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284596832352).

4122254510400 is an abundant number, since it is smaller than the sum of its proper divisors (10446939154304).

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

4122254510400 is a wasteful number, since it uses less digits than its factorization.

4122254510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20098 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 4122254510400 in words is "four trillion, one hundred twenty-two billion, two hundred fifty-four million, five hundred ten thousand, four hundred".