40154350400 has 84 divisors (see below), whose sum is σ = 101214836940. Its totient is φ = 15669964800.

The previous prime is 40154350399. The next prime is 40154350403. The reversal of 40154350400 is 405345104.

It can be written as a sum of positive squares in 6 ways, for example, as 10454653504 + 29699696896 = 102248^2 + 172336^2 .

It is a super-2 number, since 2×40154350400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40154350400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40154350403) 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, 240455 + ... + 371654.

It is an arithmetic number, because the mean of its divisors is an integer number (1204938535).

Almost surely, 2^40154350400 is an apocalyptic number.

40154350400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40154350400 is an abundant number, since it is smaller than the sum of its proper divisors (61060486540).

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

40154350400 is a wasteful number, since it uses less digits than its factorization.

40154350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612172 (or 612157 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 40154350400 its reverse (405345104), we get a palindrome (40559695504).

The spelling of 40154350400 in words is "forty billion, one hundred fifty-four million, three hundred fifty thousand, four hundred".