40290902600 has 96 divisors (see below), whose sum is σ = 102536432040. Its totient is φ = 14632704000.

The previous prime is 40290902591. The next prime is 40290902611. The reversal of 40290902600 is 620909204.

It can be written as a sum of positive squares in 12 ways, for example, as 743216644 + 39547685956 = 27262^2 + 198866^2 .

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 23 ways as a sum of consecutive naturals, for example, 31580 + ... + 285620.

Almost surely, 2^40290902600 is an apocalyptic number.

40290902600 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 40290902600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51268216020).

40290902600 is an abundant number, since it is smaller than the sum of its proper divisors (62245529440).

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

40290902600 is a wasteful number, since it uses less digits than its factorization.

40290902600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254131 (or 254122 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 40290902600 in words is "forty billion, two hundred ninety million, nine hundred two thousand, six hundred".