1041016401 has 16 divisors (see below), whose sum is σ = 1547521920. Its totient is φ = 691637040.

The previous prime is 1041016399. The next prime is 1041016411. The reversal of 1041016401 is 1046101401.

1041016401 is a `hidden beast` number, since 10 + 4 + 10 + 1 + 640 + 1 = 666.

It is not a de Polignac number, because 1041016401 - 2¹ = 1041016399 is a prime.

It is a super-4 number, since 4×1041016401⁴ (a number of 37 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1041016411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57885 + ... + 73706.

It is an arithmetic number, because the mean of its divisors is an integer number (96720120).

Almost surely, 2^1041016401 is an apocalyptic number.

It is an amenable number.

1041016401 is a deficient number, since it is larger than the sum of its proper divisors (506505519).

1041016401 is a wasteful number, since it uses less digits than its factorization.

1041016401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131893 (or 131887 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1041016401 is about 32264.7857733474. The cubic root of 1041016401 is about 1013.4893528405.

Adding to 1041016401 its reverse (1046101401), we get a palindrome (2087117802).

The spelling of 1041016401 in words is "one billion, forty-one million, sixteen thousand, four hundred one".