1035400684752 has 240 divisors, whose sum is σ = 3472769514240. Its totient is φ = 281714485248.

The previous prime is 1035400684709. The next prime is 1035400684811. The reversal of 1035400684752 is 2574860045301.

1035400684752 is a `hidden beast` number, since 1 + 0 + 3 + 540 + 0 + 68 + 47 + 5 + 2 = 666.

It is a super-3 number, since 3×1035400684752³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1035400684698 and 1035400684707.

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, 1891333 + ... + 2376539.

It is an arithmetic number, because the mean of its divisors is an integer number (14469872976).

Almost surely, 2^{1035400684752} is an apocalyptic number.

1035400684752 is a gapful number since it is divisible by the number (12) 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 1035400684752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736384757120).

1035400684752 is an abundant number, since it is smaller than the sum of its proper divisors (2437368829488).

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

1035400684752 is a wasteful number, since it uses less digits than its factorization.

1035400684752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485330 (or 485321 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1035400684752 in words is "one trillion, thirty-five billion, four hundred million, six hundred eighty-four thousand, seven hundred fifty-two".