41251070400 has 336 divisors, whose sum is σ = 141695716608. Its totient is φ = 10486784000.

The previous prime is 41251070327. The next prime is 41251070407. The reversal of 41251070400 is 407015214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41251070407) 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, 54206020 + ... + 54206780.

Almost surely, 2^41251070400 is an apocalyptic number.

41251070400 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 41251070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70847858304).

41251070400 is an abundant number, since it is smaller than the sum of its proper divisors (100444646208).

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

41251070400 is a wasteful number, since it uses less digits than its factorization.

41251070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 41251070400 its reverse (407015214), we get a palindrome (41658085614).

The spelling of 41251070400 in words is "forty-one billion, two hundred fifty-one million, seventy thousand, four hundred".