40264128 has 98 divisors (see below), whose sum is σ = 119932704. Its totient is φ = 13405824.

The previous prime is 40264127. The next prime is 40264129. The reversal of 40264128 is 82146204.

It is an interprime number because it is at equal distance from previous prime (40264127) and next prime (40264129).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40264127) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46225 + ... + 47087.

Almost surely, 2^40264128 is an apocalyptic number.

40264128 is a gapful number since it is divisible by the number (48) 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 40264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59966352).

40264128 is an abundant number, since it is smaller than the sum of its proper divisors (79668576).

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

40264128 is an frugal number, since it uses more digits than its factorization.

40264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40264128 is about 6345.4021149175. The cubic root of 40264128 is about 342.7462927360.

The spelling of 40264128 in words is "forty million, two hundred sixty-four thousand, one hundred twenty-eight".