40678452720 has 480 divisors, whose sum is σ = 151914776832. Its totient is φ = 10079686656.

The previous prime is 40678452677. The next prime is 40678452769. The reversal of 40678452720 is 2725487604.

It is a happy number.

40678452720 is a `hidden beast` number, since 40 + 6 + 7 + 84 + 527 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 201689²-1.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27429099 + ... + 27430581.

Almost surely, 2^40678452720 is an apocalyptic number.

40678452720 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 40678452720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75957388416).

40678452720 is an abundant number, since it is smaller than the sum of its proper divisors (111236324112).

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

40678452720 is a wasteful number, since it uses less digits than its factorization.

40678452720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 40678452720 in words is "forty billion, six hundred seventy-eight million, four hundred fifty-two thousand, seven hundred twenty".