1463040036528 has 640 divisors, whose sum is σ = 4787564052480. Its totient is φ = 376024965120.

The previous prime is 1463040036467. The next prime is 1463040036529. The reversal of 1463040036528 is 8256300403641.

It is a super-2 number, since 2×1463040036528² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1463040036528.

It is not an unprimeable number, because it can be changed into a prime (1463040036529) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 948178125 + ... + 948179667.

It is an arithmetic number, because the mean of its divisors is an integer number (7480568832).

Almost surely, 2^{1463040036528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463040036528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393782026240).

1463040036528 is an abundant number, since it is smaller than the sum of its proper divisors (3324524015952).

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

1463040036528 is a wasteful number, since it uses less digits than its factorization.

1463040036528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1463040036528 in words is "one trillion, four hundred sixty-three billion, forty million, thirty-six thousand, five hundred twenty-eight".