1061150450040 has 448 divisors, whose sum is σ = 3613499971200. Its totient is φ = 280321191936.

The previous prime is 1061150450029. The next prime is 1061150450123. The reversal of 1061150450040 is 400540511601.

1061150450040 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 150 + 4 + 500 + 4 + 0 = 666.

It is a super-2 number, since 2×1061150450040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1061150449986 and 1061150450013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2450693664 + ... + 2450694096.

It is an arithmetic number, because the mean of its divisors is an integer number (8065848150).

Almost surely, 2^{1061150450040} is an apocalyptic number.

1061150450040 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 1061150450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806749985600).

1061150450040 is an abundant number, since it is smaller than the sum of its proper divisors (2552349521160).

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

1061150450040 is a wasteful number, since it uses less digits than its factorization.

1061150450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 1061150450040 its reverse (400540511601), we get a palindrome (1461690961641).

The spelling of 1061150450040 in words is "one trillion, sixty-one billion, one hundred fifty million, four hundred fifty thousand, forty".