40414040400 has 240 divisors, whose sum is σ = 136778745600. Its totient is φ = 10183649280.

The previous prime is 40414040333. The next prime is 40414040419. The reversal of 40414040400 is 404041404.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×40414040400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1623246 + ... + 1647954.

It is an arithmetic number, because the mean of its divisors is an integer number (569911440).

Almost surely, 2^40414040400 is an apocalyptic number.

40414040400 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 40414040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68389372800).

40414040400 is an abundant number, since it is smaller than the sum of its proper divisors (96364705200).

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

40414040400 is a wasteful number, since it uses less digits than its factorization.

40414040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24806 (or 24795 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 40414040400 its reverse (404041404), we get a palindrome (40818081804).

The spelling of 40414040400 in words is "forty billion, four hundred fourteen million, forty thousand, four hundred".