40125480012800 has 792 divisors, whose sum is σ = 125891014271904. Its totient is φ = 12567639490560.

The previous prime is 40125480012769. The next prime is 40125480012803. The reversal of 40125480012800 is 821008452104.

It is a super-2 number, since 2×40125480012800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (40125480012803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1581785717 + ... + 1581811083.

Almost surely, 2^{40125480012800} is an apocalyptic number.

40125480012800 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 40125480012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62945507135952).

40125480012800 is an abundant number, since it is smaller than the sum of its proper divisors (85765534259104).

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

40125480012800 is a wasteful number, since it uses less digits than its factorization.

40125480012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25521 (or 25491 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

Adding to 40125480012800 its reverse (821008452104), we get a palindrome (40946488464904).

The spelling of 40125480012800 in words is "forty trillion, one hundred twenty-five billion, four hundred eighty million, twelve thousand, eight hundred".