61409038924800 has 1584 divisors, whose sum is σ = 253807076450304. Its totient is φ = 13896253440000.

The previous prime is 61409038924747. The next prime is 61409038924823. The reversal of 61409038924800 is 842983090416.

61409038924800 is a `hidden beast` number, since 6 + 1 + 40 + 9 + 0 + 38 + 92 + 480 + 0 = 666.

It is a super-3 number, since 3×61409038924800³ (a number of 42 digits) contains 333 as substring.

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, 95801932480 + ... + 95801933120.

Almost surely, 2^{61409038924800} is an apocalyptic number.

61409038924800 is a gapful number since it is divisible by the number (60) 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 61409038924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126903538225152).

61409038924800 is an abundant number, since it is smaller than the sum of its proper divisors (192398037525504).

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

61409038924800 is a wasteful number, since it uses less digits than its factorization.

61409038924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 61409038924800 in words is "sixty-one trillion, four hundred nine billion, thirty-eight million, nine hundred twenty-four thousand, eight hundred".