40267148064 has 384 divisors, whose sum is σ = 131429910528. Its totient is φ = 10620149760.

The previous prime is 40267148023. The next prime is 40267148069. The reversal of 40267148064 is 46084176204.

It is not an unprimeable number, because it can be changed into a prime (40267148069) 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, 23048439 + ... + 23050185.

It is an arithmetic number, because the mean of its divisors is an integer number (342265392).

Almost surely, 2^40267148064 is an apocalyptic number.

40267148064 is a gapful number since it is divisible by the number (44) 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 40267148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65714955264).

40267148064 is an abundant number, since it is smaller than the sum of its proper divisors (91162762464).

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

40267148064 is a wasteful number, since it uses less digits than its factorization.

40267148064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 40267148064 in words is "forty billion, two hundred sixty-seven million, one hundred forty-eight thousand, sixty-four".