41964972 has 144 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 10969728.

The previous prime is 41964961. The next prime is 41964973. The reversal of 41964972 is 27946914.

It is a super-2 number, since 2×41964972² = 3522117749921568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (41964973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392143 + ... + 392249.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^41964972 is an apocalyptic number.

41964972 is a gapful number since it is divisible by the number (42) 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 41964972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

41964972 is an abundant number, since it is smaller than the sum of its proper divisors (82139988).

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

41964972 is a wasteful number, since it uses less digits than its factorization.

41964972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 41964972 is about 6478.0376658368. The cubic root of 41964972 is about 347.5060040713.

The spelling of 41964972 in words is "forty-one million, nine hundred sixty-four thousand, nine hundred seventy-two".