40780247040 has 1040 divisors, whose sum is σ = 165174594816. Its totient is φ = 9555148800.

The previous prime is 40780247023. The next prime is 40780247051. The reversal of 40780247040 is 4074208704.

40780247040 is a `hidden beast` number, since 407 + 8 + 0 + 247 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

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 = 40780246986 and 40780247004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 668528610 + ... + 668528670.

Almost surely, 2^40780247040 is an apocalyptic number.

40780247040 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 40780247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82587297408).

40780247040 is an abundant number, since it is smaller than the sum of its proper divisors (124394347776).

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

40780247040 is a wasteful number, since it uses less digits than its factorization.

40780247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 40780247040 in words is "forty billion, seven hundred eighty million, two hundred forty-seven thousand, forty".