5024000150400 has 1152 divisors, whose sum is σ = 21272225990400. Its totient is φ = 1019599257600.

The previous prime is 5024000150359. The next prime is 5024000150423. The reversal of 5024000150400 is 40510004205.

It is a super-2 number, since 2×5024000150400² (a number of 26 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 349634416 + ... + 349648784.

It is an arithmetic number, because the mean of its divisors is an integer number (18465473950).

Almost surely, 2^{5024000150400} is an apocalyptic number.

5024000150400 is a gapful number since it is divisible by the number (50) 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 5024000150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636112995200).

5024000150400 is an abundant number, since it is smaller than the sum of its proper divisors (16248225840000).

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

5024000150400 is a wasteful number, since it uses less digits than its factorization.

5024000150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14468 (or 14440 counting only the distinct ones).

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

Adding to 5024000150400 its reverse (40510004205), we get a palindrome (5064510154605).

The spelling of 5024000150400 in words is "five trillion, twenty-four billion, one hundred fifty thousand, four hundred".