40209861120 has 1280 divisors, whose sum is σ = 166309355520. Its totient is φ = 8139571200.

The previous prime is 40209861059. The next prime is 40209861157. The reversal of 40209861120 is 2116890204.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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, 855528937 + ... + 855528983.

It is an arithmetic number, because the mean of its divisors is an integer number (129929184).

Almost surely, 2^40209861120 is an apocalyptic number.

40209861120 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 40209861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83154677760).

40209861120 is an abundant number, since it is smaller than the sum of its proper divisors (126099494400).

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

40209861120 is a wasteful number, since it uses less digits than its factorization.

40209861120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 40209861120 in words is "forty billion, two hundred nine million, eight hundred sixty-one thousand, one hundred twenty".