40154400 has 432 divisors, whose sum is σ = 171551520. Its totient is φ = 8985600.

The previous prime is 40154383. The next prime is 40154407. The reversal of 40154400 is 445104.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×40154400² = 3224751678720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40154407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3088794 + ... + 3088806.

It is an arithmetic number, because the mean of its divisors is an integer number (397110).

Almost surely, 2^40154400 is an apocalyptic number.

40154400 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 40154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85775760).

40154400 is an abundant number, since it is smaller than the sum of its proper divisors (131397120).

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

40154400 is a wasteful number, since it uses less digits than its factorization.

40154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40154400 is about 6336.7499556160. The cubic root of 40154400 is about 342.4346581798.

Adding to 40154400 its reverse (445104), we get a palindrome (40599504).

The spelling of 40154400 in words is "forty million, one hundred fifty-four thousand, four hundred".