7467142401 has 48 divisors (see below), whose sum is σ = 11277576960. Its totient is φ = 4755179520.

The previous prime is 7467142399. The next prime is 7467142409. The reversal of 7467142401 is 1042417647.

It is a happy number.

It is not a de Polignac number, because 7467142401 - 2¹ = 7467142399 is a prime.

It is a super-4 number, since 4×7467142401⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (7467142409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13650810 + ... + 13651356.

It is an arithmetic number, because the mean of its divisors is an integer number (234949520).

Almost surely, 2^7467142401 is an apocalyptic number.

It is an amenable number.

7467142401 is a deficient number, since it is larger than the sum of its proper divisors (3810434559).

7467142401 is a wasteful number, since it uses less digits than its factorization.

7467142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7467142401 is about 86412.6287124747. The cubic root of 7467142401 is about 1954.5711215294.

The spelling of 7467142401 in words is "seven billion, four hundred sixty-seven million, one hundred forty-two thousand, four hundred one".