40330425252000 has 768 divisors, whose sum is σ = 150868293907968. Its totient is φ = 9330322636800.

The previous prime is 40330425251929. The next prime is 40330425252037. The reversal of 40330425252000 is 25252403304.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1943905627 + ... + 1943926373.

It is an arithmetic number, because the mean of its divisors is an integer number (196443091026).

Almost surely, 2^{40330425252000} is an apocalyptic number.

40330425252000 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 40330425252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75434146953984).

40330425252000 is an abundant number, since it is smaller than the sum of its proper divisors (110537868655968).

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

40330425252000 is a wasteful number, since it uses less digits than its factorization.

40330425252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21538 (or 21520 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 40330425252000 its reverse (25252403304), we get a palindrome (40355677655304).

It can be divided in two parts, 403 and 30425252000, that added together give a palindrome (30425252403).

The spelling of 40330425252000 in words is "forty trillion, three hundred thirty billion, four hundred twenty-five million, two hundred fifty-two thousand".