4050152400 has 240 divisors, whose sum is σ = 15038466048. Its totient is φ = 912576000.

The previous prime is 4050152389. The next prime is 4050152417. The reversal of 4050152400 is 42510504.

4050152400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 593005 + ... + 599795.

Almost surely, 2^4050152400 is an apocalyptic number.

4050152400 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 4050152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519233024).

4050152400 is an abundant number, since it is smaller than the sum of its proper divisors (10988313648).

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

4050152400 is a wasteful number, since it uses less digits than its factorization.

4050152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6890 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 4050152400 is about 63640.8076630082. The cubic root of 4050152400 is about 1594.0078472473.

Adding to 4050152400 its reverse (42510504), we get a palindrome (4092662904).

The spelling of 4050152400 in words is "four billion, fifty million, one hundred fifty-two thousand, four hundred".