1949892845040 has 640 divisors, whose sum is σ = 8225293547520. Its totient is φ = 414414323712.

The previous prime is 1949892845029. The next prime is 1949892845071. The reversal of 1949892845040 is 405482989491.

1949892845040 is a `hidden beast` number, since 1 + 9 + 4 + 98 + 92 + 8 + 450 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21288622 + ... + 21380018.

It is an arithmetic number, because the mean of its divisors is an integer number (12852021168).

Almost surely, 2^{1949892845040} is an apocalyptic number.

1949892845040 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 1949892845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112646773760).

1949892845040 is an abundant number, since it is smaller than the sum of its proper divisors (6275400702480).

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

1949892845040 is a wasteful number, since it uses less digits than its factorization.

1949892845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91526 (or 91514 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 1949892845040 in words is "one trillion, nine hundred forty-nine billion, eight hundred ninety-two million, eight hundred forty-five thousand, forty".