1034400533040 has 360 divisors, whose sum is σ = 4049190054000. Its totient is φ = 235956575232.

The previous prime is 1034400533021. The next prime is 1034400533053. The reversal of 1034400533040 is 403350044301.

1034400533040 is a `hidden beast` number, since 10 + 344 + 0 + 0 + 5 + 3 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1034400533040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034400532995 and 1034400533013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17575342 + ... + 17634098.

It is an arithmetic number, because the mean of its divisors is an integer number (11247750150).

Almost surely, 2^{1034400533040} is an apocalyptic number.

1034400533040 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 1034400533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024595027000).

1034400533040 is an abundant number, since it is smaller than the sum of its proper divisors (3014789520960).

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

1034400533040 is a wasteful number, since it uses less digits than its factorization.

1034400533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59289 (or 59273 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 1034400533040 its reverse (403350044301), we get a palindrome (1437750577341).

The spelling of 1034400533040 in words is "one trillion, thirty-four billion, four hundred million, five hundred thirty-three thousand, forty".