2401425350400 has 216 divisors, whose sum is σ = 7931378078064. Its totient is φ = 639881216000.

The previous prime is 2401425350351. The next prime is 2401425350407. The reversal of 2401425350400 is 40535241042.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401425350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24931132 + ... + 25027268.

It is an arithmetic number, because the mean of its divisors is an integer number (36719342954).

Almost surely, 2^{2401425350400} is an apocalyptic number.

2401425350400 is a gapful number since it is divisible by the number (20) 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 2401425350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965689039032).

2401425350400 is an abundant number, since it is smaller than the sum of its proper divisors (5529952727664).

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

2401425350400 is a wasteful number, since it uses less digits than its factorization.

2401425350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97467 (or 97448 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2401425350400 in words is "two trillion, four hundred one billion, four hundred twenty-five million, three hundred fifty thousand, four hundred".