40101400 has 96 divisors (see below), whose sum is σ = 100328400. Its totient is φ = 14860800.

The previous prime is 40101389. The next prime is 40101409. The reversal of 40101400 is 410104.

It is a super-3 number, since 3×40101400³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40101409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231714 + ... + 231886.

Almost surely, 2^40101400 is an apocalyptic number.

40101400 is a gapful number since it is divisible by the number (40) 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 40101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50164200).

40101400 is an abundant number, since it is smaller than the sum of its proper divisors (60227000).

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

40101400 is a wasteful number, since it uses less digits than its factorization.

40101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 40101400 is about 6332.5666202575. The cubic root of 40101400 is about 342.2839314205.

Adding to 40101400 its reverse (410104), we get a palindrome (40511504).

The spelling of 40101400 in words is "forty million, one hundred one thousand, four hundred".