403120411440 has 240 divisors, whose sum is σ = 1361461718016. Its totient is φ = 98555097600.

The previous prime is 403120411439. The next prime is 403120411451. The reversal of 403120411440 is 44114021304.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×403120411440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 403120411440.

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, 2610795 + ... + 2760885.

Almost surely, 2^403120411440 is an apocalyptic number.

403120411440 is a gapful number since it is divisible by the number (40) 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 403120411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680730859008).

403120411440 is an abundant number, since it is smaller than the sum of its proper divisors (958341306576).

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

403120411440 is a wasteful number, since it uses less digits than its factorization.

403120411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150176 (or 150151 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 403120411440 its reverse (44114021304), we get a palindrome (447234432744).

The spelling of 403120411440 in words is "four hundred three billion, one hundred twenty million, four hundred eleven thousand, four hundred forty".