40695780480 has 512 divisors, whose sum is σ = 144670924800. Its totient is φ = 9678028800.

The previous prime is 40695780427. The next prime is 40695780481. The reversal of 40695780480 is 8408759604.

It is a super-2 number, since 2×40695780480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (40695780481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113358541 + ... + 113358899.

It is an arithmetic number, because the mean of its divisors is an integer number (282560400).

Almost surely, 2^40695780480 is an apocalyptic number.

40695780480 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 40695780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72335462400).

40695780480 is an abundant number, since it is smaller than the sum of its proper divisors (103975144320).

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

40695780480 is a wasteful number, since it uses less digits than its factorization.

40695780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 40695780480 in words is "forty billion, six hundred ninety-five million, seven hundred eighty thousand, four hundred eighty".