1006351463040 has 1536 divisors, whose sum is σ = 4192219584000. Its totient is φ = 205055262720.

The previous prime is 1006351463027. The next prime is 1006351463053. The reversal of 1006351463040 is 403641536001.

It is an interprime number because it is at equal distance from previous prime (1006351463027) and next prime (1006351463053).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1006351462992 and 1006351463010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5817060394 + ... + 5817060566.

It is an arithmetic number, because the mean of its divisors is an integer number (2729309625).

Almost surely, 2^{1006351463040} is an apocalyptic number.

1006351463040 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 1006351463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096109792000).

1006351463040 is an abundant number, since it is smaller than the sum of its proper divisors (3185868120960).

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

1006351463040 is a wasteful number, since it uses less digits than its factorization.

1006351463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 1006351463040 its reverse (403641536001), we get a palindrome (1409992999041).

The spelling of 1006351463040 in words is "one trillion, six billion, three hundred fifty-one million, four hundred sixty-three thousand, forty".