1949142666240 has 2816 divisors, whose sum is σ = 9140166144000. Its totient is φ = 390168576000.

The previous prime is 1949142666221. The next prime is 1949142666283. The reversal of 1949142666240 is 426662419491.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19298442190 + ... + 19298442290.

Almost surely, 2^{1949142666240} is an apocalyptic number.

1949142666240 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 1949142666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570083072000).

1949142666240 is an abundant number, since it is smaller than the sum of its proper divisors (7191023477760).

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

1949142666240 is a wasteful number, since it uses less digits than its factorization.

1949142666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1949142666240 in words is "one trillion, nine hundred forty-nine billion, one hundred forty-two million, six hundred sixty-six thousand, two hundred forty".