541563366401040 has 40 divisors (see below), whose sum is σ = 1678846435843968. Its totient is φ = 144416897706880.

The previous prime is 541563366400961. The next prime is 541563366401119. The reversal of 541563366401040 is 40104663365145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541563366400961) and next prime (541563366401119).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×541563366401040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1128257013096 + ... + 1128257013575.

Almost surely, 2^{541563366401040} is an apocalyptic number.

It is an amenable number.

541563366401040 is an abundant number, since it is smaller than the sum of its proper divisors (1137283069442928).

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

541563366401040 is a wasteful number, since it uses less digits than its factorization.

541563366401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256514026687 (or 2256514026681 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 541563366401040 in words is "five hundred forty-one trillion, five hundred sixty-three billion, three hundred sixty-six million, four hundred one thousand, forty".