40034263040 has 224 divisors, whose sum is σ = 101726634240. Its totient is φ = 15099494400.

The previous prime is 40034263007. The next prime is 40034263069. The reversal of 40034263040 is 4036243004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52059776 + ... + 52060544.

It is an arithmetic number, because the mean of its divisors is an integer number (454136760).

Almost surely, 2^40034263040 is an apocalyptic number.

40034263040 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 40034263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50863317120).

40034263040 is an abundant number, since it is smaller than the sum of its proper divisors (61692371200).

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

40034263040 is an equidigital number, since it uses as much as digits as its factorization.

40034263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The spelling of 40034263040 in words is "forty billion, thirty-four million, two hundred sixty-three thousand, forty".