4026456425200 has 240 divisors, whose sum is σ = 10665477401472. Its totient is φ = 1448579200000.

The previous prime is 4026456425183. The next prime is 4026456425219. The reversal of 4026456425200 is 25246546204.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 804805899 + ... + 804810901.

Almost surely, 2^{4026456425200} is an apocalyptic number.

4026456425200 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 4026456425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332738700736).

4026456425200 is an abundant number, since it is smaller than the sum of its proper divisors (6639020976272).

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

4026456425200 is a wasteful number, since it uses less digits than its factorization.

4026456425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6944 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 4026456425200 in words is "four trillion, twenty-six billion, four hundred fifty-six million, four hundred twenty-five thousand, two hundred".