40780978560 has 384 divisors, whose sum is σ = 166493620800. Its totient is φ = 8999682048.

The previous prime is 40780978519. The next prime is 40780978571. The reversal of 40780978560 is 6587908704.

40780978560 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 0 + 9 + 78 + 560 = 666.

40780978560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×40780978560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40780978497 and 40780978506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151842 + ... + 1186718.

Almost surely, 2^40780978560 is an apocalyptic number.

40780978560 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 40780978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83246810400).

40780978560 is an abundant number, since it is smaller than the sum of its proper divisors (125712642240).

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

40780978560 is a wasteful number, since it uses less digits than its factorization.

40780978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34938 (or 34923 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 40780978560 in words is "forty billion, seven hundred eighty million, nine hundred seventy-eight thousand, five hundred sixty".