421272177480 has 1536 divisors, whose sum is σ = 1861413765120. Its totient is φ = 83140992000.

The previous prime is 421272177479. The next prime is 421272177497. The reversal of 421272177480 is 84771272124.

421272177480 is a `hidden beast` number, since 42 + 127 + 2 + 1 + 7 + 7 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1554509745 + ... + 1554510015.

It is an arithmetic number, because the mean of its divisors is an integer number (1211857920).

Almost surely, 2^421272177480 is an apocalyptic number.

421272177480 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 421272177480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930706882560).

421272177480 is an abundant number, since it is smaller than the sum of its proper divisors (1440141587640).

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

421272177480 is a wasteful number, since it uses less digits than its factorization.

421272177480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 421272177480 in words is "four hundred twenty-one billion, two hundred seventy-two million, one hundred seventy-seven thousand, four hundred eighty".