1047375004032 has 256 divisors, whose sum is σ = 3546266803200. Its totient is φ = 298110357504.

The previous prime is 1047375003979. The next prime is 1047375004033. The reversal of 1047375004032 is 2304005737401.

1047375004032 is a `hidden beast` number, since 10 + 4 + 73 + 7 + 500 + 40 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1047375004033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6280188 + ... + 6444804.

It is an arithmetic number, because the mean of its divisors is an integer number (13852604700).

Almost surely, 2^{1047375004032} is an apocalyptic number.

1047375004032 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 1047375004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773133401600).

1047375004032 is an abundant number, since it is smaller than the sum of its proper divisors (2498891799168).

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

1047375004032 is a wasteful number, since it uses less digits than its factorization.

1047375004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164910 (or 164892 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 1047375004032 in words is "one trillion, forty-seven billion, three hundred seventy-five million, four thousand, thirty-two".