400061946480 has 1280 divisors, whose sum is σ = 1621229568000. Its totient is φ = 81203834880.

The previous prime is 400061946469. The next prime is 400061946551. The reversal of 400061946480 is 84649160004.

It is a super-2 number, since 2×400061946480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1793999649 + ... + 1793999871.

It is an arithmetic number, because the mean of its divisors is an integer number (1266585600).

Almost surely, 2^400061946480 is an apocalyptic number.

400061946480 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 400061946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810614784000).

400061946480 is an abundant number, since it is smaller than the sum of its proper divisors (1221167621520).

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

400061946480 is a wasteful number, since it uses less digits than its factorization.

400061946480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 400061946480 in words is "four hundred billion, sixty-one million, nine hundred forty-six thousand, four hundred eighty".