4051150400 has 336 divisors, whose sum is σ = 11449677888. Its totient is φ = 1397760000.

The previous prime is 4051150399. The next prime is 4051150409. The reversal of 4051150400 is 40511504.

4051150400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4051150409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40110350 + ... + 40110450.

Almost surely, 2^4051150400 is an apocalyptic number.

4051150400 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 4051150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724838944).

4051150400 is an abundant number, since it is smaller than the sum of its proper divisors (7398527488).

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

4051150400 is a wasteful number, since it uses less digits than its factorization.

4051150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 4051150400 is about 63648.6480610547. The cubic root of 4051150400 is about 1594.1387632415.

Adding to 4051150400 its reverse (40511504), we get a palindrome (4091661904).

4051150400 divided by its reverse (40511504) gives a square (100 = 10²).

It can be divided in two parts, 4051 and 150400, that added together give a palindrome (154451).

The spelling of 4051150400 in words is "four billion, fifty-one million, one hundred fifty thousand, four hundred".