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40427154432 = 210347529
BaseRepresentation
bin100101101001101001…
…010110110000000000
310212100102211020020000
4211221221112300000
51130243322420212
630323314120000
72630552100000
oct455151266000
9125312736200
1040427154432
1116166090535
127a02b80000
133a73710872
141d57200000
1510b92611dc
hex969a56c00

40427154432 has 660 divisors, whose sum is σ = 145699400880. Its totient is φ = 11152318464.

The previous prime is 40427154421. The next prime is 40427154463. The reversal of 40427154432 is 23445172404.

40427154432 is a `hidden beast` number, since 4 + 0 + 42 + 71 + 544 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1394039794 + ... + 1394039822.

It is an arithmetic number, because the mean of its divisors is an integer number (220756668).

Almost surely, 240427154432 is an apocalyptic number.

40427154432 is a gapful number since it is divisible by the number (42) 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 40427154432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72849700440).

40427154432 is an abundant number, since it is smaller than the sum of its proper divisors (105272246448).

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

40427154432 is an frugal number, since it uses more digits than its factorization.

40427154432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 40427154432 in words is "forty billion, four hundred twenty-seven million, one hundred fifty-four thousand, four hundred thirty-two".