40068060480 has 1344 divisors, whose sum is σ = 176126607360. Its totient is φ = 8534937600.

The previous prime is 40068060479. The next prime is 40068060509. The reversal of 40068060480 is 8406086004.

40068060480 is a `hidden beast` number, since 40 + 0 + 6 + 8 + 0 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 564338845 + ... + 564338915.

Almost surely, 2^40068060480 is an apocalyptic number.

40068060480 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 40068060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88063303680).

40068060480 is an abundant number, since it is smaller than the sum of its proper divisors (136058546880).

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

40068060480 is a wasteful number, since it uses less digits than its factorization.

40068060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40068060480 in words is "forty billion, sixty-eight million, sixty thousand, four hundred eighty".