4000154400 has 432 divisors, whose sum is σ = 16298519328. Its totient is φ = 912384000.

The previous prime is 4000154377. The next prime is 4000154401. The reversal of 4000154400 is 44510004.

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 (4000154401) 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, 1344915 + ... + 1347885.

It is an arithmetic number, because the mean of its divisors is an integer number (37728054).

Almost surely, 2^4000154400 is an apocalyptic number.

4000154400 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 4000154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8149259664).

4000154400 is an abundant number, since it is smaller than the sum of its proper divisors (12298364928).

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

4000154400 is a wasteful number, since it uses less digits than its factorization.

4000154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3009 counting only the distinct ones).

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

The square root of 4000154400 is about 63246.7738307655. The cubic root of 4000154400 is about 1587.4214762656.

Adding to 4000154400 its reverse (44510004), we get a palindrome (4044664404).

The spelling of 4000154400 in words is "four billion, one hundred fifty-four thousand, four hundred".