1970193767040 has 1152 divisors, whose sum is σ = 7371775008000. Its totient is φ = 503132332032.

The previous prime is 1970193767021. The next prime is 1970193767063. The reversal of 1970193767040 is 407673910791.

1970193767040 is a `hidden beast` number, since 197 + 0 + 19 + 376 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13222776886 + ... + 13222777034.

It is an arithmetic number, because the mean of its divisors is an integer number (6399110250).

Almost surely, 2^{1970193767040} is an apocalyptic number.

1970193767040 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 1970193767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685887504000).

1970193767040 is an abundant number, since it is smaller than the sum of its proper divisors (5401581240960).

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

1970193767040 is an frugal number, since it uses more digits than its factorization.

1970193767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 1970193767040 in words is "one trillion, nine hundred seventy billion, one hundred ninety-three million, seven hundred sixty-seven thousand, forty".