1950149197440 has 384 divisors, whose sum is σ = 6776100536400. Its totient is φ = 516806148096.

The previous prime is 1950149197439. The next prime is 1950149197457. The reversal of 1950149197440 is 447919410591.

It is a happy number.

1950149197440 is a `hidden beast` number, since 1 + 9 + 5 + 0 + 1 + 4 + 9 + 197 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1935593257536 + 14555939904 = 1391256^2 + 120648^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1950149197440³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 966855312 + ... + 966857328.

Almost surely, 2^{1950149197440} is an apocalyptic number.

1950149197440 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 1950149197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388050268200).

1950149197440 is an abundant number, since it is smaller than the sum of its proper divisors (4825951338960).

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

1950149197440 is a wasteful number, since it uses less digits than its factorization.

1950149197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1950149197440 in words is "one trillion, nine hundred fifty billion, one hundred forty-nine million, one hundred ninety-seven thousand, four hundred forty".