40500021224000 has 1344 divisors, whose sum is σ = 118701432944640. Its totient is φ = 13638559334400.

The previous prime is 40500021223973. The next prime is 40500021224027. The reversal of 40500021224000 is 42212000504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40500021223973) and next prime (40500021224027).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87473047769 + ... + 87473048231.

It is an arithmetic number, because the mean of its divisors is an integer number (88319518560).

Almost surely, 2^{40500021224000} is an apocalyptic number.

40500021224000 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 40500021224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59350716472320).

40500021224000 is an abundant number, since it is smaller than the sum of its proper divisors (78201411720640).

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

40500021224000 is a wasteful number, since it uses less digits than its factorization.

40500021224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 40500021224000 its reverse (42212000504), we get a palindrome (40542233224504).

The spelling of 40500021224000 in words is "forty trillion, five hundred billion, twenty-one million, two hundred twenty-four thousand".