40101300 has 108 divisors (see below), whose sum is σ = 133139916. Its totient is φ = 10060800.

The previous prime is 40101289. The next prime is 40101301. The reversal of 40101300 is 310104.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 38787984 = 1146^2 + 6228^2 .

It is a super-2 number, since 2×40101300² = 3216228523380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40101301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13990 + ... + 16610.

It is an arithmetic number, because the mean of its divisors is an integer number (1232777).

Almost surely, 2^40101300 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 40101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66569958).

40101300 is an abundant number, since it is smaller than the sum of its proper divisors (93038616).

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

40101300 is a wasteful number, since it uses less digits than its factorization.

40101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 40101300 is about 6332.5587245599. The cubic root of 40101300 is about 342.2836469049.

Adding to 40101300 its reverse (310104), we get a palindrome (40411404).

It can be divided in two parts, 40101 and 300, that added together give a square (40401 = 201²).

The spelling of 40101300 in words is "forty million, one hundred one thousand, three hundred".