40142880000 has 540 divisors, whose sum is σ = 147323644468. Its totient is φ = 10506240000.

The previous prime is 40142879993. The next prime is 40142880101. The reversal of 40142880000 is 8824104.

It can be written as a sum of positive squares in 10 ways, for example, as 33938482176 + 6204397824 = 184224^2 + 78768^2 .

It is a super-2 number, since 2×40142880000² (a number of 22 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 59 ways as a sum of consecutive naturals, for example, 87839772 + ... + 87840228.

Almost surely, 2^40142880000 is an apocalyptic number.

40142880000 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 40142880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73661822234).

40142880000 is an abundant number, since it is smaller than the sum of its proper divisors (107180764468).

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

40142880000 is an equidigital number, since it uses as much as digits as its factorization.

40142880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 40142880000 in words is "forty billion, one hundred forty-two million, eight hundred eighty thousand".