1041214119201 has 27 divisors (see below), whose sum is σ = 1515493089201. Its totient is φ = 688867283304.

The previous prime is 1041214119157. The next prime is 1041214119203. The reversal of 1041214119201 is 1029114121401.

The square root of 1041214119201 is 1020399.

It is a perfect power (a square), and thus also a powerful number.

1041214119201 is a `hidden beast` number, since 1 + 0 + 41 + 2 + 1 + 411 + 9 + 201 = 666.

1041214119201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1041214119201 - 2⁷ = 1041214119073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1041214119203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 425505160 + ... + 425507606.

Almost surely, 2^{1041214119201} is an apocalyptic number.

1041214119201 is the 1020399-th square number.

1041214119201 is the 510200-th centered octagonal number.

It is an amenable number.

1041214119201 is a deficient number, since it is larger than the sum of its proper divisors (474278970000).

1041214119201 is an frugal number, since it uses more digits than its factorization.

1041214119201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Multiplying 1041214119201 by its product of nonzero digits (576), we get a square (599739332659776 = 24489576²).

The spelling of 1041214119201 in words is "one trillion, forty-one billion, two hundred fourteen million, one hundred nineteen thousand, two hundred one".