40034766240 has 768 divisors, whose sum is σ = 171569664000. Its totient is φ = 8515031040.

The previous prime is 40034766229. The next prime is 40034766287. The reversal of 40034766240 is 4266743004.

40034766240 is a `hidden beast` number, since 400 + 3 + 4 + 7 + 6 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40034766195 and 40034766204.

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, 33898450 + ... + 33899630.

It is an arithmetic number, because the mean of its divisors is an integer number (223398000).

Almost surely, 2^40034766240 is an apocalyptic number.

40034766240 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 40034766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85784832000).

40034766240 is an abundant number, since it is smaller than the sum of its proper divisors (131534897760).

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

40034766240 is a wasteful number, since it uses less digits than its factorization.

40034766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 40034766240 in words is "forty billion, thirty-four million, seven hundred sixty-six thousand, two hundred forty".