4126801358400 has 336 divisors, whose sum is σ = 15479530615680. Its totient is φ = 942903705600.

The previous prime is 4126801358363. The next prime is 4126801358423. The reversal of 4126801358400 is 48531086214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

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, 92075196 + ... + 92120004.

Almost surely, 2^{4126801358400} is an apocalyptic number.

4126801358400 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 4126801358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739765307840).

4126801358400 is an abundant number, since it is smaller than the sum of its proper divisors (11352729257280).

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

4126801358400 is a wasteful number, since it uses less digits than its factorization.

4126801358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47582 (or 47567 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 4126801358400 in words is "four trillion, one hundred twenty-six billion, eight hundred one million, three hundred fifty-eight thousand, four hundred".