1670438039040 has 400 divisors, whose sum is σ = 6334934685552. Its totient is φ = 419246309376.

The previous prime is 1670438039029. The next prime is 1670438039047. The reversal of 1670438039040 is 409308340761.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670438039047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3288187 + ... + 3762053.

Almost surely, 2^{1670438039040} is an apocalyptic number.

1670438039040 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 1670438039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167467342776).

1670438039040 is an abundant number, since it is smaller than the sum of its proper divisors (4664496646512).

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

1670438039040 is an equidigital number, since it uses as much as digits as its factorization.

1670438039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473919 (or 473894 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1670438039040 in words is "one trillion, six hundred seventy billion, four hundred thirty-eight million, thirty-nine thousand, forty".