1010746645440 has 336 divisors, whose sum is σ = 3738993999264. Its totient is φ = 230660505600.

The previous prime is 1010746645421. The next prime is 1010746645453. The reversal of 1010746645440 is 445466470101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010746645392 and 1010746645401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30135880 + ... + 30169400.

Almost surely, 2^{1010746645440} is an apocalyptic number.

1010746645440 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 1010746645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869496999632).

1010746645440 is an abundant number, since it is smaller than the sum of its proper divisors (2728247353824).

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

1010746645440 is a wasteful number, since it uses less digits than its factorization.

1010746645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34196 (or 34179 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 1010746645440 in words is "one trillion, ten billion, seven hundred forty-six million, six hundred forty-five thousand, four hundred forty".