40042229760 has 624 divisors, whose sum is σ = 158426259264. Its totient is φ = 9267314688.

The previous prime is 40042229741. The next prime is 40042229779. The reversal of 40042229760 is 6792224004.

It is an interprime number because it is at equal distance from previous prime (40042229741) and next prime (40042229779).

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40734229 + ... + 40735211.

It is an arithmetic number, because the mean of its divisors is an integer number (253888236).

Almost surely, 2^40042229760 is an apocalyptic number.

40042229760 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 40042229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213129632).

40042229760 is an abundant number, since it is smaller than the sum of its proper divisors (118384029504).

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

40042229760 is a wasteful number, since it uses less digits than its factorization.

40042229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40042229760 in words is "forty billion, forty-two million, two hundred twenty-nine thousand, seven hundred sixty".