40103252425200 has 480 divisors, whose sum is σ = 133794854438400. Its totient is φ = 10262120960000.

The previous prime is 40103252425183. The next prime is 40103252425217. The reversal of 40103252425200 is 252425230104.

It is an interprime number because it is at equal distance from previous prime (40103252425183) and next prime (40103252425217).

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 95 ways as a sum of consecutive naturals, for example, 507667306 + ... + 507746294.

It is an arithmetic number, because the mean of its divisors is an integer number (278739280080).

Almost surely, 2^{40103252425200} is an apocalyptic number.

40103252425200 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 40103252425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66897427219200).

40103252425200 is an abundant number, since it is smaller than the sum of its proper divisors (93691602013200).

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

40103252425200 is a wasteful number, since it uses less digits than its factorization.

40103252425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79241 (or 79230 counting only the distinct ones).

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

Adding to 40103252425200 its reverse (252425230104), we get a palindrome (40355677655304).

The spelling of 40103252425200 in words is "forty trillion, one hundred three billion, two hundred fifty-two million, four hundred twenty-five thousand, two hundred".