1046512761840 has 960 divisors, whose sum is σ = 4640702976000. Its totient is φ = 213178355712.

The previous prime is 1046512761821. The next prime is 1046512761841. The reversal of 1046512761840 is 481672156401.

1046512761840 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 5 + 1 + 27 + 618 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046512761841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51291961 + ... + 51312359.

It is an arithmetic number, because the mean of its divisors is an integer number (4834065600).

Almost surely, 2^{1046512761840} is an apocalyptic number.

1046512761840 is a gapful number since it is divisible by the number (10) 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 1046512761840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320351488000).

1046512761840 is an abundant number, since it is smaller than the sum of its proper divisors (3594190214160).

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

1046512761840 is a wasteful number, since it uses less digits than its factorization.

1046512761840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20476 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1046512761840 in words is "one trillion, forty-six billion, five hundred twelve million, seven hundred sixty-one thousand, eight hundred forty".