415023150400 has 168 divisors, whose sum is σ = 1079113432320. Its totient is φ = 156780349440.

The previous prime is 415023150349. The next prime is 415023150413. The reversal of 415023150400 is 4051320514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2835822 + ... + 2978578.

It is an arithmetic number, because the mean of its divisors is an integer number (6423294240).

Almost surely, 2^415023150400 is an apocalyptic number.

415023150400 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 415023150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539556716160).

415023150400 is an abundant number, since it is smaller than the sum of its proper divisors (664090281920).

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

415023150400 is a wasteful number, since it uses less digits than its factorization.

415023150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142881 (or 142866 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 415023150400 its reverse (4051320514), we get a palindrome (419074470914).

The spelling of 415023150400 in words is "four hundred fifteen billion, twenty-three million, one hundred fifty thousand, four hundred".