40288389120 has 768 divisors, whose sum is σ = 166336934400. Its totient is φ = 9172942848.

The previous prime is 40288389101. The next prime is 40288389151. The reversal of 40288389120 is 2198388204.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156764032 + ... + 156764288.

It is an arithmetic number, because the mean of its divisors is an integer number (216584550).

Almost surely, 2^40288389120 is an apocalyptic number.

40288389120 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 40288389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83168467200).

40288389120 is an abundant number, since it is smaller than the sum of its proper divisors (126048545280).

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

40288389120 is an frugal number, since it uses more digits than its factorization.

40288389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 40288389120 in words is "forty billion, two hundred eighty-eight million, three hundred eighty-nine thousand, one hundred twenty".