63001601040 has 240 divisors, whose sum is σ = 228341635200. Its totient is φ = 14327470080.

The previous prime is 63001601021. The next prime is 63001601053. The reversal of 63001601040 is 4010610036.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 63001600998 and 63001601016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2326780 + ... + 2353700.

It is an arithmetic number, because the mean of its divisors is an integer number (951423480).

Almost surely, 2^63001601040 is an apocalyptic number.

63001601040 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 63001601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114170817600).

63001601040 is an abundant number, since it is smaller than the sum of its proper divisors (165340034160).

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

63001601040 is a wasteful number, since it uses less digits than its factorization.

63001601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27150 (or 27137 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 63001601040 in words is "sixty-three billion, one million, six hundred one thousand, forty".