41615254400 has 96 divisors (see below), whose sum is σ = 104337589080. Its totient is φ = 16397568000.

The previous prime is 41615254399. The next prime is 41615254403. The reversal of 41615254400 is 445251614.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41615254403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117350 + ... + 311450.

Almost surely, 2^41615254400 is an apocalyptic number.

41615254400 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 41615254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52168794540).

41615254400 is an abundant number, since it is smaller than the sum of its proper divisors (62722334680).

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

41615254400 is a wasteful number, since it uses less digits than its factorization.

41615254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194192 (or 194175 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 41615254400 in words is "forty-one billion, six hundred fifteen million, two hundred fifty-four thousand, four hundred".