40780762848 has 240 divisors, whose sum is σ = 137696993280. Its totient is φ = 11598246144.

The previous prime is 40780762807. The next prime is 40780762861. The reversal of 40780762848 is 84826708704.

It is a happy number.

40780762848 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 0 + 7 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×40780762848² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40780762794 and 40780762803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4041073 + ... + 4051151.

It is an arithmetic number, because the mean of its divisors is an integer number (573737472).

Almost surely, 2^40780762848 is an apocalyptic number.

40780762848 is a gapful number since it is divisible by the number (48) 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 40780762848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68848496640).

40780762848 is an abundant number, since it is smaller than the sum of its proper divisors (96916230432).

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

40780762848 is a wasteful number, since it uses less digits than its factorization.

40780762848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10331 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 40780762848 in words is "forty billion, seven hundred eighty million, seven hundred sixty-two thousand, eight hundred forty-eight".