40601264 has 40 divisors (see below), whose sum is σ = 86192400. Its totient is φ = 18374400.

The previous prime is 40601237. The next prime is 40601269. The reversal of 40601264 is 46210604.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40601269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61094 + ... + 61754.

It is an arithmetic number, because the mean of its divisors is an integer number (2154810).

Almost surely, 2^40601264 is an apocalyptic number.

40601264 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 40601264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43096200).

40601264 is an abundant number, since it is smaller than the sum of its proper divisors (45591136).

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

40601264 is a wasteful number, since it uses less digits than its factorization.

40601264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 40601264 is about 6371.9121148993. The cubic root of 40601264 is about 343.7002526797.

Adding to 40601264 its reverse (46210604), we get a palindrome (86811868).

The spelling of 40601264 in words is "forty million, six hundred one thousand, two hundred sixty-four".