40287777840 has 320 divisors, whose sum is σ = 146429913600. Its totient is φ = 10153092096.

The previous prime is 40287777787. The next prime is 40287777883. The reversal of 40287777840 is 4877778204.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 21462982 + ... + 21464858.

It is an arithmetic number, because the mean of its divisors is an integer number (457593480).

Almost surely, 2^40287777840 is an apocalyptic number.

40287777840 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 40287777840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73214956800).

40287777840 is an abundant number, since it is smaller than the sum of its proper divisors (106142135760).

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

40287777840 is a wasteful number, since it uses less digits than its factorization.

40287777840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 40287777840 in words is "forty billion, two hundred eighty-seven million, seven hundred seventy-seven thousand, eight hundred forty".