40402010000 has 200 divisors, whose sum is σ = 107143553088. Its totient is φ = 14632000000.

The previous prime is 40402009997. The next prime is 40402010023. The reversal of 40402010000 is 1020404.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34209410 + ... + 34210590.

Almost surely, 2^40402010000 is an apocalyptic number.

40402010000 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 40402010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53571776544).

40402010000 is an abundant number, since it is smaller than the sum of its proper divisors (66741543088).

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

40402010000 is a wasteful number, since it uses less digits than its factorization.

40402010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 40402010000 its reverse (1020404), we get a palindrome (40403030404).

The spelling of 40402010000 in words is "forty billion, four hundred two million, ten thousand".