1061945639040 has 768 divisors, whose sum is σ = 4026236860800. Its totient is φ = 236489932800.

The previous prime is 1061945639021. The next prime is 1061945639057. The reversal of 1061945639040 is 409365491601.

It is a happy number.

It is a super-2 number, since 2×1061945639040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 727857831 + ... + 727859289.

Almost surely, 2^{1061945639040} is an apocalyptic number.

1061945639040 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 1061945639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013118430400).

1061945639040 is an abundant number, since it is smaller than the sum of its proper divisors (2964291221760).

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

1061945639040 is a wasteful number, since it uses less digits than its factorization.

1061945639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 1061945639040 in words is "one trillion, sixty-one billion, nine hundred forty-five million, six hundred thirty-nine thousand, forty".