40413400000 has 84 divisors (see below), whose sum is σ = 100238256216. Its totient is φ = 16165280000.

The previous prime is 40413399997. The next prime is 40413400009. The reversal of 40413400000 is 431404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40413400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98967 + ... + 301033.

It is an arithmetic number, because the mean of its divisors is an integer number (1193312574).

Almost surely, 2^40413400000 is an apocalyptic number.

40413400000 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 40413400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50119128108).

40413400000 is an abundant number, since it is smaller than the sum of its proper divisors (59824856216).

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

40413400000 is an frugal number, since it uses more digits than its factorization.

40413400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202104 (or 202074 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40413400000 its reverse (431404), we get a palindrome (40413831404).

The spelling of 40413400000 in words is "forty billion, four hundred thirteen million, four hundred thousand".