40137423004624 has 160 divisors (see below), whose sum is σ = 87030580222080. Its totient is φ = 17774530099200.

The previous prime is 40137423004603. The next prime is 40137423004697. The reversal of 40137423004624 is 42640032473104.

It is a happy number.

It is a super-2 number, since 2×40137423004624² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8176290682 + ... + 8176295590.

It is an arithmetic number, because the mean of its divisors is an integer number (543941126388).

Almost surely, 2^{40137423004624} is an apocalyptic number.

40137423004624 is a gapful number since it is divisible by the number (44) 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 40137423004624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43515290111040).

40137423004624 is an abundant number, since it is smaller than the sum of its proper divisors (46893157217456).

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

40137423004624 is a wasteful number, since it uses less digits than its factorization.

40137423004624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

Adding to 40137423004624 its reverse (42640032473104), we get a palindrome (82777455477728).

The spelling of 40137423004624 in words is "forty trillion, one hundred thirty-seven billion, four hundred twenty-three million, four thousand, six hundred twenty-four".