40200329799840 has 768 divisors, whose sum is σ = 157451971461120. Its totient is φ = 8419187589120.

The previous prime is 40200329799809. The next prime is 40200329799853. The reversal of 40200329799840 is 4899792300204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 284551620 + ... + 284692860.

It is an arithmetic number, because the mean of its divisors is an integer number (205015587840).

Almost surely, 2^{40200329799840} is an apocalyptic number.

40200329799840 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 40200329799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78725985730560).

40200329799840 is an abundant number, since it is smaller than the sum of its proper divisors (117251641661280).

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

40200329799840 is a wasteful number, since it uses less digits than its factorization.

40200329799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141445 (or 141437 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 40200329799840 in words is "forty trillion, two hundred billion, three hundred twenty-nine million, seven hundred ninety-nine thousand, eight hundred forty".