40249770000 has 400 divisors, whose sum is σ = 147934245888. Its totient is φ = 9331520000.

The previous prime is 40249769971. The next prime is 40249770013. The reversal of 40249770000 is 7794204.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7587349 + ... + 7592651.

Almost surely, 2^40249770000 is an apocalyptic number.

40249770000 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 40249770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73967122944).

40249770000 is an abundant number, since it is smaller than the sum of its proper divisors (107684475888).

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

40249770000 is a wasteful number, since it uses less digits than its factorization.

40249770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 40249770000 in words is "forty billion, two hundred forty-nine million, seven hundred seventy thousand".