1032478035840 has 384 divisors, whose sum is σ = 3627966232800. Its totient is φ = 270496972800.

The previous prime is 1032478035833. The next prime is 1032478035863. The reversal of 1032478035840 is 485308742301.

1032478035840 is a `hidden beast` number, since 10 + 3 + 247 + 8 + 0 + 358 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1032478035840³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 554796510 + ... + 554798370.

Almost surely, 2^{1032478035840} is an apocalyptic number.

1032478035840 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 1032478035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813983116400).

1032478035840 is an abundant number, since it is smaller than the sum of its proper divisors (2595488196960).

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

1032478035840 is a wasteful number, since it uses less digits than its factorization.

1032478035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1032478035840 in words is "one trillion, thirty-two billion, four hundred seventy-eight million, thirty-five thousand, eight hundred forty".