40701264 has 80 divisors (see below), whose sum is σ = 114992640. Its totient is φ = 12349440.

The previous prime is 40701259. The next prime is 40701277. The reversal of 40701264 is 46210704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24492 + ... + 26100.

It is an arithmetic number, because the mean of its divisors is an integer number (1437408).

Almost surely, 2^40701264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40701264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57496320).

40701264 is an abundant number, since it is smaller than the sum of its proper divisors (74291376).

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

40701264 is a wasteful number, since it uses less digits than its factorization.

40701264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40701264 is about 6379.7542272410. The cubic root of 40701264 is about 343.9821966629.

Adding to 40701264 its reverse (46210704), we get a palindrome (86911968).

The spelling of 40701264 in words is "forty million, seven hundred one thousand, two hundred sixty-four".