40137218542848 has 288 divisors, whose sum is σ = 122408972664832. Its totient is φ = 11437280870400.

The previous prime is 40137218542829. The next prime is 40137218542853. The reversal of 40137218542848 is 84824581273104.

It is a super-2 number, since 2×40137218542848² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9037876308 + ... + 9037880748.

Almost surely, 2^{40137218542848} is an apocalyptic number.

40137218542848 is a gapful number since it is divisible by the number (48) 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 40137218542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61204486332416).

40137218542848 is an abundant number, since it is smaller than the sum of its proper divisors (82271754121984).

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

40137218542848 is a wasteful number, since it uses less digits than its factorization.

40137218542848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8561 (or 8547 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 40137218542848 in words is "forty trillion, one hundred thirty-seven billion, two hundred eighteen million, five hundred forty-two thousand, eight hundred forty-eight".